Results 41 to 50 of about 40,499 (317)
Fault-tolerant simulation of Lattice Gauge Theories with gauge covariant codes [PDF]
QuantumWe show in this paper that a strong and easy connection exists between quantum error correction and Lattice Gauge Theories (LGT) by using the Gauge symmetry to construct an efficient error-correcting code for Abelian $\mathbb{Z_2}$ LGTs.
L. Spagnoli, A. Roggero, N. Wiebe
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Accessing quantum secrets via local operations and classical communication
, 2013 Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a reduced number
Gheorghiu, Vlad, Sanders, Barry C.
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Experimental Implementation of a Concatenated Quantum Error-Correcting Code [PDF]
, 2004 Concatenated coding provides a general strategy to achieve the desired level of noise protection in quantum information storage and transmission. We report the implementation of a concatenated quantum error-correcting code able to correct against phase ...
A. M. Steane +6 more
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Entanglement renormalization, quantum error correction, and bulk causality
Journal of High Energy Physics, 2017 Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progres-sively more well-protected against erasure errors at larger length scales. In particular,
Isaac H. Kim, Michael J. Kastoryano
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Physical Review Research, 2023 Generation of logical zero states encoded with a quantum error-correcting code is the first step for fault-tolerant quantum computation but requires considerably large resource overheads in general.
Hayato Goto, Yinghao Ho, Taro Kanao
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Some New Quantum BCH Codes over Finite Fields
Entropy, 2021 Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes.
Lijuan Xing, Zhuo Li
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Entanglement Purification of Any Stabilizer State [PDF]
, 2006 We present a method for multipartite entanglement purification of any stabilizer state shared by several parties. In our protocol each party measures the stabilizer operators of a quantum error-correcting code on his or her qubits.
D. Gottesman +7 more
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Error Correcting Codes in Quantum Theory
Physical Review Letters, 1996 Summary: A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory.
openaire +3 more sources
Stabilizer Formalism for Operator Algebra Quantum Error Correction [PDF]
QuantumWe 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
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High-Rate Quantum Low-Density Parity-Check Codes Assisted by Reliable Qubits [PDF]
, 2015 Quantum error correction is an important building block for reliable quantum information processing. A challenging hurdle in the theory of quantum error correction is that it is significantly more difficult to design error-correcting codes with desirable
Fujiwara, Yuichiro +2 more
core +4 more sources