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Practical limits of error correction for quantum metrology
New Journal of Physics, 2021 Noise is the greatest obstacle in quantum metrology that limits it achievable precision and sensitivity. There are many techniques to mitigate the effect of noise, but this can never be done completely.
Nathan Shettell +3 more
doaj +1 more source
Perturbative Quantum Error Correction [PDF]
Physical Review Letters, 2011 We derive simple necessary and sufficient conditions under which a quantum channel obtained from an arbitrary perturbation from the identity can be reversed on a given code to the lowest order in fidelity. We find the usual Knill-Laflamme conditions applied to a certain operator subspace which, for a generic perturbation, is generated by the Lindblad ...
openaire +5 more sources
Short Codes for Quantum Channels with One Prevalent Pauli Error Type [PDF]
IEEE Journal on Selected Areas in Information Theory, vol. 1, no.
2, pp. 480-486, 2020, 2021 One of the main problems in quantum information systems is the presence of errors due to noise, and for this reason quantum error-correcting codes (QECCs) play a key role. While most of the known codes are designed for correcting generic errors, i.e., errors represented by arbitrary combinations of Pauli X , Y and Z operators, in this paper we ...
arxiv +1 more source
Information-theoretic approach to quantum error correction and reversible measurement [PDF]
, 1997 Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error-correcting codes, teleportation, and reversing quantum measurements.
Benjamin Schumacher +4 more
core +4 more sources
Triangular color codes on trivalent graphs with flag qubits
New Journal of Physics, 2020 The color code is a topological quantum error-correcting code supporting a variety of valuable fault-tolerant logical gates. Its two-dimensional version, the triangular color code, may soon be realized with currently available superconducting hardware ...
Christopher Chamberland +3 more
doaj +1 more source
Measurement-based estimator scheme for continuous quantum error correction
Physical Review Research, 2022 Canonical discrete quantum error correction (DQEC) schemes use projective von Neumann measurements on stabilizers to discretize the error syndromes into a finite set, and fast unitary gates are applied to recover the corrupted information.
Sangkha Borah +5 more
doaj +1 more source
Continuous quantum error correction via quantum feedback control [PDF]
, 2001 We describe a protocol for continuously protecting unknown quantum states from decoherence that incorporates design principles from both quantum error correction and quantum feedback control.
A. Barenco +26 more
core +2 more sources
Fault-tolerant quantum computing in the Pauli or Clifford frame with slow error diagnostics [PDF]
Quantum, 2018 We consider the problem of fault-tolerant quantum computation in the presence of slow error diagnostics, either caused by measurement latencies or slow decoding algorithms.
Christopher Chamberland +2 more
doaj +1 more source
Quantum minimal surfaces from quantum error correction
SciPost Physics, 2022 We show that complementary state-specific reconstruction of logical (bulk) operators is equivalent to the existence of a quantum minimal surface prescription for physical (boundary) entropies.
Chris Akers, Geoff Penington
doaj +1 more source
Multidimensional Bose quantum error correction based on neural network decoder
npj Quantum Information, 2022 Boson quantum error correction is an important means to realize quantum error correction information processing. In this paper, we consider the connection of a single-mode Gottesman-Kitaev-Preskill (GKP) code with a two-dimensional (2D) surface (surface ...
Haowen Wang +4 more
doaj +1 more source