Ministerio de Industria, Turismo y Comercio LogoMinisterior
 

Alerta

Resultados 216 resultados
LastUpdate Última actualización 16/10/2026 [07:47:00]
pdfxls
previousPage Resultados 175 a 200 de 216 nextPage  

SYSTEMS AND METHODS FOR ASSEMBLING ELECTRON SPIN AND CHARGE TO POSSESS PROPERTIES OF A MAGNETIC MONOPOLE

NºPublicación:  US20260301988A1 01/10/2026
Solicitante: 
UNIV OF PITTSBURGH OF THE COMMONWEALTH SYSTEM OF HIGHER EDUCATION [US]
University of Pittsburgh- of the Commonwealth System of Higher Education
US_20260301988_A1

Resumen de: US20260301988A1

Described herein are systems and methods for assembling electron spin and charge to possess one or more properties of a magnetic monopole. Example systems can include a laser configured to generate a light beam with a first spin and/or a first orbital angular momentum, and a surface including a coupling structure having a geometrical charge. When exposed to the light beam, the surface is configured to enable excitations of surface plasmon polariton field waves at metal-dielectric interfaces of the coupling structure to generate a plasmonic field. The surface can be configured to focus the plasmonic field to form a plasmonic vortex, in which plasmonic spin-orbit coupling between a total spin and a total orbital angular momentum forms a topological spin texture that is homotopic to that of a magnetic monopole.

CRYOGENIC COOLING SYSTEM

NºPublicación:  US20260298507A1 01/10/2026
Solicitante: 
OXFORD NANOSCIENCE LTD [GB]
Oxford Nanoscience Limited
US_20260298507_A1

Resumen de: US20260298507A1

0000 A cryogenic cooling system is provided comprising a cryogenic refrigerator assembly and two or more connected modules. The cryogenic refrigerator assembly comprises one or more cryogenic refrigerators. Each said connected module comprises: a housing defining an internal volume for the module, the housing having a plurality of side faces, and a plurality of stages arranged within the internal volume for the module, wherein one or more of the plurality of stages is thermally coupled to the cryogenic refrigerator assembly. The two or more said modules are mutually connected at respective side faces, and a first said stage of a first said module is thermally coupled to a first said stage of a second said module.

METHOD FOR DETERMINING FLUXMAP PARAMETERS OF A QUANTUM SYSTEM COMPRISING A PLURALITY OF SUPERCONDUCTING LOOPS

NºPublicación:  WO2026201778A1 01/10/2026
Solicitante: 
ALICE & BOB [FR]
ALICE & BOB
WO_2026201778_A1

Resumen de: WO2026201778A1

Method for determining fluxmap parameters of a quantum system comprising a plurality of superconducting loops A method for determining fluxmap parameters of a quantum system comprising a plurality of superconducting loops, comprises: a) receiving a quantum system fluxmap model comprising at least one fixed parameter forming a set of fluxmap parameters and at least one variable parameter forming a set of control parameters, b) obtaining a first set of control parameters (200) as a current set of control parameters and a first set of fluxmap parameters as a current set of fluxmap parameters, c) controlling the quantum system (220) with said current set of control parameters, and measuring at least one fluxmap-related physical quantity on the quantum system, d) deriving (230) a new current set of fluxmap parameters from said quantum system fluxmap model and from all of said at least one fluxmap-related physical quantity measured at the current and at previous iterations of operation c), e) determining (240) a new current set of control parameters based on said new current set of fluxmap parameters, said quantum system fluxmap model and said current set of control parameters, f) repeating operations c) to e) until a condition relating to the quantum system fluxmap model and all of said at least one fluxmap-related physical quantity measured at the current and at previous iterations of operation c) is met.

SYSTEMS AND METHODS FOR QUANTUM COMPUTATION OF AN EXTENDED WEIGHTED SUM OF HASHED VALUES OF A REAL-VALUED FUNCTION

NºPublicación:  US20260300788A1 01/10/2026
Solicitante: 
WELLS FARGO BANK N A [US]
Wells Fargo Bank, N.A.
US_20260300788_A1

Resumen de: US20260300788A1

Systems, apparatuses, and methods are disclosed for a quantum computation of an extended weighted sum of hashed function values. An example method includes initializing two sets of qubits. The example method also includes transforming the initial quantum states of the sets of qubits into a quantum state encoding the weighted sum of the hashed function values using a sequence of operators. The sequence of operators comprises a first operator that encodes a distribution of real-valued weights as quantum amplitudes in the quantum state of the first set of qubits, a second operator that prepares an entangled quantum state encoding a real-valued function, a third operator comprising a series of Hadamard gates, and a fourth operator whose conjugate encodes a real-valued hash function. The example method also includes utilizing the quantum state encoding the weighted sum of the hashed function values.

CRYOGENIC DATA CENTER RACK

NºPublicación:  US20260304700A1 01/10/2026
Solicitante: 
PSIQUANTUM CORP [US]
PsiQuantum, Corp.
US_20260304700_A1

Resumen de: US20260304700A1

0000 A cryogenic rack system can contain a vacuum chamber that includes cryogenic cabinets and a distribution section. The cabinets can include cryogenic-temperature blades supporting electronic and photonic chips that operate at cryogenic temperatures, and room temperature blades supporting electronic and photonic chips that operate at a non-cryogenic temperature.

METHODS FOR MITIGATION AND FOR CHARACTERIZATION OF LOGICAL ERRORS IN ERROR CORRECTED QUANTUM PROCESSORS

NºPublicación:  US20260300801A1 01/10/2026
Solicitante: 
QEDMA QUANTUM COMPUTING LTD [IL]
QEDMA Quantum Computing LTD.
US_20260300801_A1

Resumen de: US20260300801A1

0000 In a first aspect, a method for mitigating errors in a quantum circuit that includes at least one error-corrected quantum logic operation. The method includes providing a set of quantum error mitigation protocols that includes at least two quantum error mitigation protocols. The at least one error-corrected quantum logic operation and is executed and an associated at least one syndrome thereof is measured, to obtain a syndrome measurement. Execution is according to at least one selected quantum error mitigation protocol from the set, based on the syndrome measurement. In a second aspect, a method for computing mitigatable errors of an error-corrected quantum operation. The method includes characterizing physical errors of at least one physical quantum gate included in the quantum operation, to obtain physical characterization. The method includes simulating the quantum operation according to the physical characterization to obtain simulated output errors and syndromes, to obtain the mitigatable errors.

INTERFACE FOR TARGETED MODIFICATION OF MATERIAL STRUCTURES, STATES AND PROCESSES BY MODULATION OF THE QUARK-GLUON EXCHANGE

NºPublicación:  WO2026201773A1 01/10/2026
Solicitante: 
LOEW THORSTEN [DE]
LOEW, Thorsten
WO_2026201773_A1

Resumen de: WO2026201773A1

The invention relates to a technical interface for the targeted manipulation and reprogramming, closed-loop control, open-loop control, influencing and measurement of subatomic, atomic and molecular processes and states. The invention is based on quantum-logic methods, in particular the controlled entanglement and control of the quark-gluon exchange (QGE) in the atomic nucleus - which is interpreted as a natural quantum computer within the scope of this invention. In the centre is the so-called "atomic code", a structured control protocol which addresses and modulates the quantum mechanical parameters of an atom - such as colour charge, spin and coupling strength - in a targeted manner (similar to the DNA in the cell nucleus). The device operates with quantum entangled and/or quantum-logic states between control qubits (or control quitrits) and target atoms/molecules and allows a targeted modification of chemical and physical properties by way of this modulation. This allows, inter alia: • the precise reprogramming of matter on a quantum level, • the conversion of elements, • the development of synthetic and hybrid atoms or molecules, • and extensive applications in areas such as medicine, material science, quantum information science, AI/AGI and biotechnology. The invention provides a technical basis for the operative control of matter on the basis of the QGE and the atomic code - and establishes a completely new technology class with the potential to open up an inde

Apparatus And Methods for Gaussian Boson Sampling State Preparation

NºPublicación:  US20260300789A1 01/10/2026
Solicitante: 
XANADU QUANTUM TECH INC [CA]
Xanadu Quantum Technologies Inc.
US_20260300789_A1

Resumen de: US20260300789A1

0000 An apparatus includes a set of phase shifters, each phase shifter from the set of phase shifters optically coupled to one optical mode from a pair of optical modes configured to transmit substantially identical squeezed states of light. The apparatus also includes at least one directional coupler, each directional coupler from the at least one directional coupler optically coupled to a unique pair of phase shifters from the set of phase shifters. A photon number resolving (PNR) detector is operably coupled to a directional coupler from the at least one directional coupler. The apparatus is configured to generate, with a statistical probability greater than a predefined threshold, one or more desired non-Gaussian states of light, the one or more desired non-Gaussian states of light including at least one approximate Gottesman-Kitaev-Preskill (GKP) state.

A STREAMING DECODER FOR A QUANTUM ERROR CORRECTION CODE

NºPublicación:  AU2025375337A1 01/10/2026
Solicitante: 
OXFORD UNIV INNOVATION LIMITED
OXFORD UNIVERSITY INNOVATION LIMITED
AU_2025375337_PA

Resumen de: AU2025375337A1

The present disclosure relates to apparatuses, classical modular processor units and methods for providing a decoder for finding a correction, C, to an error, E, detected in measurements of a qubit register received at intervals over time in a stream of successive measurement rounds. The decoder is implemented by a lattice or grid of identical classical modular processor units providing a viewing window of nodes and edges corresponding to a decoding graph for the quantum error correction code. Each classical modular processor unit independently and locally carries out a decoding cycle comprising a sequence of drop operation, a grow operation and a merge operation, by which a correction can be found to all errors arising in the qubit register within the viewing window in a computationally efficient, scalable manner that can clean the quantum computer faster than the error rate.

METHODS, DEVICES, AND SYSTEMS FOR EXECUTING A LOGICAL QUANTUM CIRCUIT

NºPublicación:  AU2025244711A1 01/10/2026
Solicitante: 
PHOTONIC INC
PHOTONIC INC.
AU_2025244711_PA

Resumen de: AU2025244711A1

In a computer-implemented method for executing a logical quantum circuit on a target quantum hardware device, a gate operation weight is obtained for each pair of a plurality of pairs of logical qubits in the logical quantum circuit. The gate operation weight depends on an occurrence frequency of multi-qubit gate operations between the pair of logical qubits. For each pair of a plurality of pairs of quantum systems in the target quantum hardware device, a link quality weight is obtained. The link quality weight depends on quality of an optical connection between the pair of quantum systems. A mapping of the logical qubits to the quantum systems is generated such that a mapping cost function is minimized. The mapping cost function depends on the gate operation weights and the link quality weights. The logical quantum circuit is executed on the target quantum hardware device based on the mapping.

ADAPTIVE OSCILLATOR PHYSICAL RESERVOIR COMPUTER

NºPublicación:  US20260300687A1 01/10/2026
Solicitante: 
PERKINS EDMON [US]
Perkins Edmon
US_20260300687_A1

Resumen de: US20260300687A1

0000 Various examples are provided related to adaptive oscillator physical reservoir computers. In one example, a physical reservoir computer (PRC) comprises an adaptive oscillator (AO) including a dynamic plastic state adaptable to a corresponding input function. The PRC can utilize the dynamic plastic state to perform reconfigurable tasks. The AO can include multiple dynamic plastic states each adaptable to a corresponding input function. For example, the dynamic plastic state can correspond to a frequency state, an amplitude state, or a phase state of an input. The AO-based PRC can operate without time or spatial multiplexing. Thus, the AO PRC can function as an analog signal processor of the external signal, compute reprogrammable machine learning tasks, or function as a morphable logic gate.

QUANTUM LOW-DENSITY PARITY-CHECK CODES WITH RECONFIGURABLE ATOM ARRAYS

NºPublicación:  US20260300799A1 01/10/2026
Solicitante: 
PRESIDENT AND FELLOWS OF HARVARD COLLEGE [US]
QUERA COMPUTING INCORPORATED [US]
THE UNIV OF CHICAGO [US]
CALIFORNIA INST OF TECHNOLOGY [US]
ARIZONA BOARD OF REGENTS ON BEHALF OF THE UNIV OF ARIZONA [US]
President and Fellows of Harvard College
QuEra Computing Incorporated
The University of Chicago
California Institute of Technology
Arizona Board of Regents on behalf of the University of Arizona
US_20260300799_A1

Resumen de: US20260300799A1

Quantum error correction in reconfigurable atom arrays is described. A plurality of data qubits is provided, each of the plurality of data qubits disposed in a corresponding trap. A plurality of ancilla qubits is provided, each of the plurality of ancilla qubits disposed in a corresponding trap. The plurality of data qubits and the plurality of ancilla qubits are arranged in a plurality of rows and a plurality of columns, thereby forming a lattice. A plurality of permutations of the plurality of rows and the plurality of columns is performed, each of the plurality of permutations placing each of the plurality of data qubits within an interaction radius of one of the plurality of ancilla qubits, thereby forming a plurality of proximate pairs. Subsequent to each of the plurality of permutations, a global control pulse is applied to the lattice, thereby applying a gate to each of the plurality of proximate pairs, and thereby encoding a parity check matrix between the plurality of ancilla qubits and the plurality of data qubits.

METHOD AND SYSTEMS FOR TUNING COHERENCE IN SYSTEMS

NºPublicación:  US20260298722A1 01/10/2026
Solicitante: 
NULL SEAN [US]
Null Sean
US_20260298722_A1

Resumen de: US20260298722A1

0000 Methods and systems for tuning coherence of computing systems involve a modulation engine including at least one processor and a memory. A modulation device is connected to the modulation engine. The modulation device is configured to adjust an operating parameter of the computing system based on coherence outputs from the modulation engine to reduce coherence loss of the computing system.

METHODS AND SYSTEMS FOR QUANTUM SIMULATION

NºPublicación:  WO2026201921A1 01/10/2026
Solicitante: 
KVANTIFY APS [DK]
KVANTIFY APS
WO_2026201921_A1

Resumen de: WO2026201921A1

The present disclosure relates to computer-implemented methods and computer program code for performing a quantum simulation on at least one classical computing unit. According to the disclosure, the at least one classical computing unit is configured to perform the step of storing the data structure representing the state of the simulated quantum circuit, the data structure comprising at least one bit string, the at least one bit string being of length n and Hamming weight k, wherein the size of the data structure is determined at least on the basis of the number of possible bit strings of length n and Hamming weight k. It is further configured to update the data structure comprising the step of performing a first set of predetermined logic gate operations on the state, which comprises the further steps while preserving the bit string length n and the Hamming weight k. Finally, determining output data representing at least one property of the simulation object on the basis of at least part of the data structure may be performed.

QUANTUM-CLASSICAL HYBRID SIMULATIONS USING ADVANCED MATHEMATICAL EXPANSIONS FOR MATERIALS DESIGN

NºPublicación:  US20260300571A1 01/10/2026
Solicitante: 
QOMPLX LLC [US]
QOMPLX LLC
US_20260300571_A1

Resumen de: US20260300571A1

0000 The advanced materials design platform implements a novel quantum-classical hybrid computation system that integrates quantum and classical computing resources for materials simulation, design, and engineering applications. The system generates parallel computational results using quantum and classical processors while maintaining quantum coherence through sophisticated state-preserving protocols. The platform features a mathematical translation layer, which enables accurate conversion between quantum and classical state representations. The platform implements real-time error detection and correction mechanisms, continuously monitoring quantum coherence and classical consistency while optimizing computation parameters and orchestration of tasks to achieve design goals. Resource management strategies dynamically allocate quantum and classical computing resources based on coherence requirements and computational complexity and cumulatively accumulated knowledge. The platform enables efficient exploration of materials properties that span quantum and classical domains, providing a powerful framework for advanced, adaptive and active materials design applications while maintaining computational accuracy and consistency across both quantum and classical regimes.

FUSION BASED QUANTUM COMPUTING DEVICE AND SYSTEM

NºPublicación:  WO2026202046A1 01/10/2026
Solicitante: 
SPARROW QUANTUM APS [DK]
UNIV COPENHAGEN [DK]
SPARROW QUANTUM APS
K\u00D8BENHAVNS UNIVERSITET
WO_2026202046_A1

Resumen de: WO2026202046A1

The present disclosure provides a fusion based quantum computing (FBQC) device, comprising a first substrate, wherein the first substrate comprises: a deterministic entanglement source configured to generate a stream of single photons, wherein the deterministic entanglement source is configured to trap a single particle having an intrinsic property of a spin to define a spin-qubit, such that the deterministic entanglement source is configured to hold the spin-qubit, wherein the deterministic entanglement source is configured to allow control of the spin via one or more field(s), such as a magnetic field and/or an electromagnetic field, from one or more radiation source(s), and wherein the deterministic entanglement source is configured such that when the one or more radiation sources is/are operated in a controlled manner, then the deterministic entanglement source emits, in a repetitive manner, a single photon as part of the stream of single photons such that at least the single photon is entangled with the spin-qubit, thereby generating a stream of entangled photons; and an output coupler optically connected to the deterministic entanglement source, such that the output coupler is configured to optically couple out the stream of entangled photons.

METHOD AND SYSTEM FOR SOLVING OPTIMIZATION PROBLEMS

NºPublicación:  WO2026202101A1 01/10/2026
Solicitante: 
KIPU QUANTUM GMBH [DE]
KIPU QUANTUM GMBH
WO_2026202101_A1

Resumen de: WO2026202101A1

The present invention relates to a computer-implemented method (100) and system for solving optimization problems using a quantum processing unit with multiple qubits and quantum gates. The method employs a tree-based optimization approach, for example a branch-and-bound or cut technique, integrated with a bias-field digitized counter-diabatic quantum optimization algorithm. It involves encoding the optimization problem into a problem Hamiltonian, initializing a time-dependent Hamiltonian, and applying a bias field. The quantum processing unit evolves the quantum state to reach the ground state of the problem Hamiltonian, followed by measuring and computing expectation values. The present invention constructs a tree of branches based on selected qubits, applying constraints to explore configurations that yield the lowest expectation values. Ultimately, it determines the optimal solution by extracting a bitstring from the final probability distribution, enhancing the efficiency and accuracy of solving complex optimization problems.

Quantum Error Correction Decoding via Block-and-Cycle Feasibility Checking

NºPublicación:  US20260300797A1 01/10/2026
Solicitante: 
INT BUSINESS MACHINES CORPORATION [US]
International Business Machines Corporation
US_20260300797_A1

Resumen de: US20260300797A1

Systems/techniques that facilitate quantum error correction decoding via block-and-cycle feasibility checking are provided. In various embodiments, a system can measure a syndrome measurement associated with a quantum error correction circuit and a parity check matrix. In various aspects, the system can identify a logical action caused by an error afflicting the quantum error correction circuit, based on performing block-and-cycle feasibility checking on a first linear system derived from the syndrome measurement and from the parity check matrix. In various instances, the system can correct the error, based on applying an inverse of the logical action to the quantum error correction circuit.

SOLVING MULTI-OBJECTIVE COMPUTATIONAL PROBLEMS USING QUANTUM COMPUTING IN A LESS COMPUTATIONALLY EXPENSIVE MANNER

NºPublicación:  US20260300795A1 01/10/2026
Solicitante: 
INT BUSINESS MACHINES CORPORATION [US]
HYUNDAI MOTOR CO [KR]
KIA CORP [KR]
International Business Machines Corporation
Hyundai Motor Company
Kia Corporation
US_20260300795_A1

Resumen de: US20260300795A1

A method, system and computer program product for finding the optimal solution for multi-objective computational problems without being computationally expensive. The output of a parameterized quantum circuit is measured multiple times to obtain a set of samples, where each sample of the set of samples represents a point within a potential solution space of the multi-objective computational problem. An expectation value, which acts as a cost function, is calculated using the set of samples. The classical computer may then be utilized to adjust the parameters of the parameterized quantum circuit to minimize the cost function. A set of solutions on the Pareto front corresponding to a set of samples is then outputted by the classical computer in response to a convergence of the cost function, where such a set of samples was used to calculate the expectation value which acted as the cost function.

METHODS AND APPARATUSES FOR DETECTING ERRORS IN A QUANTUM CIRCUIT

NºPublicación:  US20260300800A1 01/10/2026
Solicitante: 
IONQ INC [US]
IonQ, Inc.
US_20260300800_A1

Resumen de: US20260300800A1

0000 Aspects of the present disclosure include a method and/or a system for detecting an error in a quantum circuit including initializing a plurality of trapped ions, associating the plurality of trapped ions with the plurality of physical qubits, associating a plurality of Pauli operators with the plurality of physical qubits, for each of the plurality of Pauli operators, iteratively perform the steps of: setting an ancilla qubit of a plurality of ancilla qubits to a state |0 , applying a first Hadamard to the ancilla qubit, applying, in response to a corresponding Pauli operator being different than an identity gate, a controlled P-gate on the ancilla qubit to each of the plurality of physical qubits, and applying a second Hadamard gate to the ancilla qubit, measuring the plurality of ancilla qubits, and detecting one or more errors in the physical qubits in response to measuring the plurality of ancilla qubits.

CONFINEMENT APPARATUS ASSEMBLY WITH INTEGRATED TRANSPARENT CONDUCTIVE WINDOWS AND METHODS FOR FABRICATION THEREOF

NºPublicación:  US20260300792A1 01/10/2026
Solicitante: 
QUANTINUUM LLC [US]
Quantinuum LLC
US_20260300792_A1

Resumen de: US20260300792A1

A confinement apparatus assembly includes a chip configured for delivering a manipulation signal to a target location. The chip includes a plurality of layers. The plurality of layers include sub-surface layers and a patterned conductive layer disposed at a delivery surface of the chip. The chip further includes a transparent conductive film (TCF) disposed between the patterned conductive layer and at least one of the sub-surface layers such that the TCF is in electrical communication with at least a portion of the patterned conductive layer. The patterned conductive layer may be/include electrodes, a ground plane, and/or the like.

NETWORK OPTIMIZATION BASED ON QUANTUM POSITIONING OF USER DEVICES

NºPublicación:  US20260301097A1 01/10/2026
Solicitante: 
AT&T INTELLECTUAL PROPERTY I L P [US]
AT&T MOBILITY II LLC [US]
AT&T Intellectual Property I, L.P.
AT&T Mobility II LLC
US_20260301097_A1

Resumen de: US20260301097A1

0000 A method performed by a processing system including at least one processor includes collecting, from a quantum sensor in a communications network, position data for a public safety device, tracking a movement pattern and a usage pattern of the public safety device by providing the position data as input to a quantum machine learning model that generates the movement pattern and the usage pattern as an output, determining, based on an analysis of the movement pattern and the usage pattern, that an emergency service should be contacted, and placing a call to the emergency service.

LLM-BASED PROCESS FOR QUANTUM RESOURCE ESTIMATES

NºPublicación:  US20260300121A1 01/10/2026
Solicitante: 
DELL PRODUCTS L P [US]
Dell Products L.P.
US_20260300121_A1

Resumen de: US20260300121A1

One example method includes receiving, by an LLM (large language model), an input prompt that includes a description of a problem to be solved using quantum computing resources, by each QRE (quantum resource estimator) in an ensemble, determining, as an output of the QRE, a result that indicates the quantum computing resources needed to solve the problem, merging the QRE output results to generate a unified result, generating a list of available quantum computing resources that are able to meet requirements specified in the unified result, generating an output that is based on the list, and providing the output to the LLM, which uses the output to generate a human-readable output of the resources needed to solve the problem.

CASIMIR-EFFECT BASED TUNNEL TRANSISTOR UTILIZING GRAPHENE

NºPublicación:  US20260304851A1 01/10/2026
Solicitante: 
QUBIT SEMICONDUCTOR LLC [US]
Qubit Semiconductor LLC
US_20260304851_A1

Resumen de: US20260304851A1

A quantum device includes an actuator including a graphene material and having a proximal end mounted to an actuator anchor; an electrode disposed on a distal end of the actuator; a quantum dot, configured to localize a single electron, the quantum dot and the electrode disposed within a common vacuum to define a tunneling gap; and a quantum dot anchor, comprising the graphene material, disposed in a same plane as the quantum dot relative to the electrode. The quantum device may include a modulator configured to emit electromagnetic signaling within a particular frequency range. The graphene material is tuned to increase a Casimir force between the electrode and the quantum dot anchor in response to the electromagnetic signaling. The increased Casimir force causes the actuator to deform to bring the electrode within an electron tunneling range of the quantum dot, or lowers a tunneling barrier on a static electrode.

METHOD FOR PERFORMING QUANTUM ERROR CORRECTION

Nº publicación: US20260300796A1 01/10/2026

Solicitante:

XANADU QUANTUM TECH INC [CA]
XANADU QUANTUM TECHNOLOGIES INC.

US_20260300796_A1

Resumen de: US20260300796A1

0000 A method for constructing a quantum error correction code based on weight reduced classical code is described herein. When the weight of a row r of the classical code check matrix is above a weight threshold x, the row is replaced with a matrix M comprising a first sub-matrix and a second sub-matrix. The first sub-matrix is constructed such that the i-th column of the first sub-matrix has a weight equal to the i-th element of row r. Each column of the second submatrix having a non-zero even-numbered weight. Each row of the second sub-matrix having a weight of less than or equal to (x−w<1>), w<1 >being the weight of a corresponding row of the first sub-matrix. Then zeros are appended to the end of each row of check matrix besides row r, producing a weight reduced check matrix, from which a quantum error correcting code may be constructed.

traducir