Results 21 to 30 of about 8,540 (277)

Narain CFTs from qudit stabilizer codes

open access: yesSciPost Physics Core, 2023
We construct a discrete subset of Narain CFTs from quantum stabilizer codes with qudit (including qubit) systems whose dimension is a prime number. Our construction exploits three important relations.
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda
doaj   +1 more source

Avoiding coherent errors with rotated concatenated stabilizer codes

open access: yesnpj Quantum Information, 2021
Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors.
Yingkai Ouyang
doaj   +1 more source

Stabilizer Formalism for Operator Algebra Quantum Error Correction [PDF]

open access: yesQuantum
We introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formulation for traditional quantum error correcting codes (QEC) and Poulin's ...
Guillaume Dauphinais   +2 more
doaj   +1 more source

The Gilbert-Varshamov Bound for Stabilizer Codes Over $\mathbb{Z}_m$

open access: yesIEEE Access, 2018
Quantum codes over finite rings have received a great deal of attention in recent years. Compared with quantum codes over finite fields, a notable advantage of quantum codes over finite rings is that they can adapt to quantum physical systems of ...
Nianqi Tang   +3 more
doaj   +1 more source

Good approximate quantum LDPC codes from spacetime circuit Hamiltonians [PDF]

open access: yes, 2018
We study approximate quantum low-density parity-check (QLDPC) codes, which are approximate quantum error-correcting codes specified as the ground space of a frustration-free local Hamiltonian, whose terms do not necessarily commute. Such codes generalize
Bohdanowicz, Thomas C.   +3 more
core   +2 more sources

Stabilizer codes for Heisenberg-limited many-body Hamiltonian estimation [PDF]

open access: yesQuantum
Estimating many-body Hamiltonians has wide applications in quantum technology. By allowing coherent evolution of quantum systems and entanglement across multiple probes, the precision of estimating a fully connected $k$-body interaction can scale up to $(
Santanu Bosu Antu, Sisi Zhou
doaj   +1 more source

Conversion of a general quantum stabilizer code to an entanglement distillation protocol [PDF]

open access: yes, 2002
We show how to convert a quantum stabilizer code to a one-way or two-way entanglement distillation protocol. The proposed conversion method is a generalization of those of Shor-Preskill and Nielsen-Chuang.
Aschbacher M   +19 more
core   +5 more sources

Construction of Some New Quantum BCH Codes

open access: yesIEEE Access, 2018
Classical Bose-Chaudhuri-Hocquenghem (BCH) codes over finite fields have been studied extensively. One can construct quantum stabilizer codes with good parameters using classical BCH codes. In this paper, our goal is to find such classical BCH codes.
Ming Zhang   +3 more
doaj   +1 more source

Good Quantum Convolutional Error Correction Codes And Their Decoding Algorithm Exist [PDF]

open access: yes, 1998
Quantum convolutional code was introduced recently as an alternative way to protect vital quantum information. To complete the analysis of quantum convolutional code, I report a way to decode certain quantum convolutional codes based on the classical ...
A. Dholakia   +30 more
core   +2 more sources

Codeword stabilized quantum codes for asymmetric channels [PDF]

open access: yes2016 IEEE International Symposium on Information Theory (ISIT), 2016
We discuss a method to adapt the codeword stabilized (CWS) quantum code framework to the problem of finding asymmetric quantum codes. We focus on the corresponding Pauli error models for amplitude damping noise and phase damping noise. In particular, we look at codes for Pauli error models that correct one or two amplitude damping errors.
Tyler Jackson, Markus Grassl, Bei Zeng
openaire   +3 more sources

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