scholarly journals Efficient quantum error correction for fully correlated noise

2011 ◽  
Vol 375 (37) ◽  
pp. 3255-3258 ◽  
Author(s):  
Chi-Kwong Li ◽  
Mikio Nakahara ◽  
Yiu-Tung Poon ◽  
Nung-Sing Sze ◽  
Hiroyuki Tomita
Keyword(s):  
Error Correction ◽  
Quantum Error Correction ◽  
Correlated Noise ◽  
Quantum Error

QUANTUM ERROR CORRECTION DRIVEN ENTANGLEMENT DYNAMICS IN THE PRESENCE OF CORRELATED NOISE

2005 ◽  
Vol 03 (01) ◽  
pp. 207-211
Author(s):  
GABRIELE DE CHIARA ◽  
ROSARIO FAZIO ◽  
CHIARA MACCHIAVELLO ◽  
G. MASSIMO PALMA
Keyword(s):  
Error Correction ◽  
Quantum Error Correction ◽  
Correlated Noise ◽  
Entanglement Dynamics ◽  
Logical Qubits ◽  
Quantum Error ◽  
Short Times

The effects of quantum error correction (QEC) on the dynamics of entanglement between logical qubits in the presence of a dephasing interaction with a correlated environment is investigated. Such a correlated reservoir introduces entanglement between physical qubits which, for short times, is interpreted as error and suppressed by the QEC routine. However for longer times, although QEC is no longer able to correct errors, it enhances the rate of entanglement production due to the interaction with the environment.

Performance of topological quantum error correction in the presence of correlated noise

2018 ◽  
Vol 18 (9&10) ◽  
pp. 743-778
Author(s):  
Muhammad Ahsan ◽  
Syed Abbas Zilqurnain Naqvi
Keyword(s):  
Error Correction ◽  
Noise Level ◽  
Quantum Computer ◽  
Quantum Error Correction ◽  
Noise Model ◽  
Correlated Noise ◽  
Computational Accuracy ◽  
Topological Quantum ◽  
Large Numbers ◽  
Quantum Error

We investigate the efficacy of topological quantum error-correction in correlated noise model which permits collective coupling of all the codeword qubits to the same non-Markovian environment. In this noise model, the probability distribution over set of phase-flipped qubits, decays sub-exponentially in the size of the set and carries non-trivial likelihood of the occurring large numbers of qubits errors. We find that in the presence of noise correlation, one cannot guarantee arbitrary high computational accuracy simply by incrementing the codeword size while retaining constant noise level per qubit operation. However, if instead, per-operation qubit error probability in an n-qubits long codeword is reduced O(\sqrt{n}) times below the accuracy threshold, arbitrarily accurate quantum computation becomes feasible with acceptable scaling of the codeword size. Our results suggest that progressively reducing noise level in qubits and gates is as important as continuously integrating more qubits to realize scalable and reliable quantum computer.

Quantum error correction against correlated noise

2004 ◽  
Vol 69 (6) ◽  
Author(s):  
James P. Clemens ◽  
Shabnam Siddiqui ◽  
Julio Gea-Banacloche
Keyword(s):  
Error Correction ◽  
Quantum Error Correction ◽  
Correlated Noise ◽  
Quantum Error

scholarly journals Quantum error correction with degenerate codes for correlated noise

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
Giulio Chiribella ◽  
Michele Dall’Arno ◽  
Giacomo Mauro D’Ariano ◽  
Chiara Macchiavello ◽  
Paolo Perinotti
Keyword(s):  
Error Correction ◽  
Quantum Error Correction ◽  
Correlated Noise ◽  
Quantum Error

Erratum: Quantum error correction against correlated noise [Phys. Rev. A69, 062313 (2004)]

2004 ◽  
Vol 70 (6) ◽  
Author(s):  
James P. Clemens ◽  
Shabnam Siddiqui ◽  
Julio Gea-Banacloche
Keyword(s):  
Error Correction ◽  
Quantum Error Correction ◽  
Correlated Noise ◽  
Quantum Error
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