Error correction for a spin quantum computer

1997 ◽  
Vol 55 (9) ◽  
pp. 5929-5936 ◽  
Author(s):  
Gennady P. Berman ◽  
David K. Campbell ◽  
Vladimir I. Tsifrinovich
Keyword(s):  
Error Correction ◽  
Quantum Computer ◽  
Spin Quantum

Fluxon-controlled quantum computer

2016 ◽  
Vol 14 (07) ◽  
pp. 1650040
Author(s):  
Toshiyuki Fujii ◽  
Shigemasa Matsuo ◽  
Noriyuki Hatakenaka
Keyword(s):  
Error Correction ◽  
Quantum Computer ◽  
Quantum Error Correction ◽  
Capacitively Coupled ◽  
Swap Gate ◽  
Flux Qubits ◽  
Superconducting Flux Qubits ◽  
Quantum Error ◽  
At Home

We propose a fluxon-controlled quantum computer incorporated with three-qubit quantum error correction using special gate operations, i.e. joint-phase and SWAP gate operations, inherent in capacitively coupled superconducting flux qubits. The proposed quantum computer acts exactly like a knitting machine at home.

scholarly journals Spin diffusion and relaxation in solid state spin quantum computer

2006 ◽  
Vol 352 (1-2) ◽  
pp. 107-114
Author(s):  
G.P. Berman ◽  
B.M. Chernobrod ◽  
V.N. Gorshkov ◽  
V.I. Tsifrinovich
Keyword(s):  
Solid State ◽  
Spin Diffusion ◽  
Quantum Computer ◽  
Spin Quantum ◽  
State Spin

scholarly journals Automated error correction in IBM quantum computer and explicit generalization

2018 ◽  
Vol 17 (6) ◽  
Author(s):  
Debjit Ghosh ◽  
Pratik Agarwal ◽  
Pratyush Pandey ◽  
Bikash K. Behera ◽  
Prasanta K. Panigrahi
Keyword(s):  
Error Correction ◽  
Quantum Computer

SILICON-BASED NUCLEAR SPIN QUANTUM COMPUTER

2005 ◽  
Vol 03 (supp01) ◽  
pp. 27-40 ◽  
Author(s):  
HSI-SHENG GOAN
Keyword(s):  
Solid State ◽  
Nuclear Spin ◽  
Quantum Computer ◽  
Theoretical Progress ◽  
Spin Quantum ◽  
Basic Physics ◽  
Qubit Operations ◽  
Silicon Based

We review the basic physics and operation principles of the silicon-based quantum computer proposed by Kane, one of the most promising solid-state quantum computer proposals. We describe in some details how single- and two-qubit operations and readout measurements can, in principle, be performed for the Kane quantum computer. In addition, we also mention briefly its recent theoretical progress and development.

scholarly journals MINIMIZATION OF NONRESONANT EFFECTS IN A SCALABLE ISING SPIN QUANTUM COMPUTER

2004 ◽  
Vol 02 (03) ◽  
pp. 379-392 ◽  
Author(s):  
G. P. BERMAN ◽  
D. I. KAMENEV ◽  
V. I. TSIFRINOVICH
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Quantum Computer ◽  
One Dimensional ◽  
Ising Spin ◽  
Spin Quantum ◽  
Computer Based ◽  
Frequency Offsets ◽  
Optimal Values ◽  
Large Frequency

The errors caused by the transitions with large frequency offsets (nonresonant transitions) are calculated analytically for a scalable solid-state quantum computer based on a one-dimensional spin chain with Ising interactions between neighboring spins. Selective excitations of the spins are enabled by a uniform gradient of the external magnetic field. We calculate the probabilities of all unwanted nonresonant transitions associated with the flip of each spin with nonresonant frequency and with flips of two spins: one with resonant and one with nonresonant frequencies. It is shown that these errors oscillate with changing gradient of the external magnetic field. Choosing the optimal values of this gradient allows us to decrease these errors by 50%.

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.

scholarly journals Perturbation approach for nuclear magnetic resonance solid-state quantum computation

2003 ◽  
Vol 2003 (1) ◽  
pp. 35-53 ◽  
Author(s):  
G. P. Berman ◽  
D. I. Kamenev ◽  
V. I. Tsifrinovich
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Perturbation Theory ◽  
Solid State ◽  
Magnetic Resonance ◽  
Quantum Computer ◽  
Perturbation Approach ◽  
Exact Numerical Solution ◽  
Spin Quantum ◽  
Small Parameters ◽  
Radio Frequency Pulses

A dynamics of a nuclear-spin quantum computer with a large number(L=1000)of qubits is considered using a perturbation approach. Small parameters are introduced and used to compute the error in an implementation of an entanglement between remote qubits, using a sequence of radio-frequency pulses. The error is computed up to the different orders of the perturbation theory and tested using exact numerical solution.

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