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Group representations, error bases and quantum codes

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/0041-5553(64)90132-6openalex-snapshot
Representation theory of finite groups and associative algebras
inferredcites →https://doi.org/10.1103/physreva.54.1862openalex-snapshot
Class of quantum error-correcting codes saturating the quantum Hamming bound
inferredcites →https://doi.org/10.1103/physrevlett.77.3260openalex-snapshot
Fault-Tolerant Error Correction with Efficient Quantum Codes
inferredcites →https://doi.org/10.1103/physrevlett.78.405openalex-snapshot
Quantum Error Correction and Orthogonal Geometry
inferredcites →https://doi.org/10.2172/369608openalex-snapshot
Concatenated quantum codes
inferredcites →https://doi.org/10.2172/373768openalex-snapshot
Non-binary unitary error bases and quantum codes

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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On a construction of a nonstabilizer clifford quantum code for 2h(2j+1)‐level states
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Factor groups, semidirect product and quantum chemistry
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Unitary Error Bases: Constructions, Equivalence, and Applications
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Fault-Tolerant Quantum Computation with Higher-Dimensional Systems
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Imprimitivity Systems and Quantum Codes
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Entanglement entropy and the colored Jones polynomial
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Nested Construction of Families of Complex Hadamard Matrices
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A Concise Guide to Complex Hadamard Matrices
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Abstract error groups via Jones unitary braid group representations at q = i
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New MDS operator quantum error-correcting codes derived from constacyclic codes over $$\mathbb {F}_{q^2}+v\mathbb {F}_{q^2}$$
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Inhomogenous quantum codes (I): additive case
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Canonical forms for single-qutrit Clifford+ T operators
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On quantum stabilizer codes derived from local Frobenius rings
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Permutationally invariant codes for quantum error correction
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Nice error frames, canonical abstract error groups and the construction of SICs
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Nice error bases, mutually unbiased bases, induced representations, the Heisenberg group and finite geometries
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The Bush matrix over a Galois field and error correcting quantum codes
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Efficient fault-tolerant quantum computing
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Symmetric informationally complete quantum measurements
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A non-commuting stabilizer formalism
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Block-circulant complex Hadamard matrices
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Fully Ramified Characters and Clifford Codes
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Quantum codes from Hadamard matrices
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Some results on the parametrization of complex Hadamard matrices
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Identification of a reversible quantum gate: assessing the resources
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Constructing exact symmetric informationally complete measurements from numerical solutions
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Group theoretical classification of SIC-POVMs
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Pair-cat codes: autonomous error-correction with low-order nonlinearity
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A new construction of quantum error-correcting codes
inferred← citeshttps://doi.org/10.1093/imrn/rnaf243openalex-snapshot
Unitary Orthonormal Bases of Finite Dimensional Inclusions
inferred← citeshttps://doi.org/10.1103/physreva.103.062404openalex-snapshot
Efficiently computing logical noise in quantum error-correcting codes
inferred← citeshttps://doi.org/10.1103/physreva.57.127openalex-snapshot
Theory of fault-tolerant quantum computation
inferred← citeshttps://doi.org/10.1109/18.681315openalex-snapshot
Quantum error correction via codes over GF(4)
inferred← citeshttps://doi.org/10.1109/18.782103openalex-snapshot
Nonbinary quantum codes
inferred← citeshttps://doi.org/10.1109/18.959288openalex-snapshot
Nonbinary quantum stabilizer codes
inferred← citeshttps://doi.org/10.1109/icces.2008.4772987openalex-snapshot
Asymmetric quantum BCH codes
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Remarks on clifford codes
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Clifford subsystem codes
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An Overview of Quantum Latin Squares in Quantum Information Theory
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Trace-orthogonal design of MIMO systems with simple scalar detectors, full diversity and (almost) full rate
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Beyond stabilizer codes .I. Nice error bases
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Lower bounds on the quantum capacity and highest error exponent of general memoryless channels
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On the Monomiality of Nice Error Bases
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Information Rates Achievable With Algebraic Codes on Quantum Discrete Memoryless Channels
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Asymptotic bounds on quantum codes from algebraic geometry codes
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Equivalence of Decoupling Schemes and Orthogonal Arrays
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Nonbinary Stabilizer Codes Over Finite Fields
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Clifford Code Constructions of Operator Quantum Error-Correcting Codes
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Nice Error Bases and Sylow Subgroups
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Quantum Weight Enumerators and Tensor Networks
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Quantum Circuit Tensors and Enumerators With Applications to Quantum Fault Tolerance
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Beyond stabilizer codes II: Clifford codes
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Log-Domain Decoding of Quantum LDPC Codes Over Binary Finite Fields
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A CONSTRUCTION FOR NON-STABILIZER CLIFFORD CODES
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Optimal quantum tomography with constrained measurements arising from unitary bases
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CONSTRUCTIONS OF SUBSYSTEM CODES OVER FINITE FIELDS
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Nonbinary Stabilizer Codes
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Equivalence of Classical and Quantum Codes
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Quantum Latin squares and unitary error bases
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Biunitary constructions in quantum information
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The Logic Fundamentals of Machine Consciousness: Theory of Tri-State
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Report on 2212.07089v1
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Geometric constructions of generalized dual-unitary circuits from biunitarity
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Narain CFTs from qudit stabilizer codes
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Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters
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Construction of perfect tensors using biunimodular vectors
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Quantum Information and Convex Optimization
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Clifford Circuits on Qudits of Mixed Dimension
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On the structure of nonstabilizer Cliford codes
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Quantum Latin squares and unitary error bases
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Universal simulation of Hamiltonians using a finite set of control operations
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The Logic Fundamentals of Machine Consciousness: Theory of Tri-state
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Three MacWilliams type identities and quantum error-correcting $ G $ -codes
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Symmetries of Codeword Stabilized Quantum Codes
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The Quantum Entropy Cone of Stabiliser States
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Asymmetric and Symmetric Subsystem BCH Codes and Beyond
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On Quantum and Classical Error Control Codes: Constructions and Applications
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The Fourier Transform Approach to Quantum Coding
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Invariants for maximally entangled vectors and unitary bases
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Exploring quantum teleportation through unitary error bases
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Randomized Benchmarking of Clifford Operators
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Beyond Stabilizer Codes II: Clifford Codes
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Beyond Stabilizer Codes I: Nice Error Bases
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On the Monomiality of Nice Error Bases
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Remarks on Clifford codes
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Non stabilizer Clifford codes with qupits
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A Note on Non-Additive Quantum Codes
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Projective Symmetry Group of a Finite Frame
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Stabilizer Codes and Quantum Error Correction
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