Quantum error correction
Quantum error correction : an introductory guide
... performing a series of projective stabilizer measurements, and the results interpreted to determine the best recovery operation to restore the quantum information to its intended state. The surface code is ...
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Novel Methods in Quantum Error Correction
... private quantum codes now includes a variety of other applica- tions, with realizations both as subspaces and subsystems of Hilbert ...of quantum secret sharing [ 43 , 45 ...the quantum information ...
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D.5 Quantum error correction
... III. QUANTUM COMPUTATION Figure III.35: Circuit for quantum error ...m error-correction qubits to yield the encoded state | ...of error operators E j , which alter the ...
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Studies Of A Quantum Scheduling Algorithm And On Quantum Error Correction
... a quantum error correcting code uses a large number of qubits and quantum gates it becomes increasingly more difficult to carry out the encoding and syndrome measurements during a single ...
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Emerging Paradigms in Quantum Error Correction and Quantum Cryptography
... of quantum error correction and describes our approach to approximate quantum error correction based on the transpose ...
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Quantum error correction protects quantum search algorithms against decoherence
... When quantum computing becomes a wide-spread commercial reality, Quantum Search Algorithms (QSA) and especially Grover’s QSA will inevitably be one of their main applications, constituting their ...the ...
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The Coherent Parity Check Framework for Quantum Error Correction
... 1.3. QUANTUM ERROR CORRECTION 9 of topological methods to encode information [ 58 ...develop quantum codes with higher encoding densities, inspired in part by classical Low Density Parity ...
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More Sparse-Graph Codes for Quantum Error-Correction
... We use Cayley graphs to construct several dual-containing codes, all of which have sparse graphs. These codes’ properties are promising compared to other quantum error-correcting codes. This paper builds on ...
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High-Threshold Fault-Tolerant Quantum Computation with Analog Quantum Error Correction
... fault-tolerant quantum computation with continuous variables, the Gottesman-Kitaev- Preskill (GKP) qubit has been recognized as an important technological ...fault-tolerant quantum computation with GKP ...
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Quantum error correction for the toric code using deep reinforcement learning
... a quantum error correction algorithm for bit-flip errors on the topologi- cal toric code using deep reinforcement learn- ...small error rates asymptotically equivalent to, that achieved by the ...
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Extending quantum error correction: new continuous measurement protocols and improved fault tolerant overhead
... threshold, quantum error correction enables quantum computations of arbitrary length with arbitrarily small output error, also known as fault-tolerant quantum ...of error ...
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Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality
... IV. CONCLUSION In this article, we studied what is the optimal entanglement- assisted asymmetric quantum error correction. Specifically, we proposed a GV-type existential theorem. Then, we com- pared ...
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Quantum Error Correction with Biased Noise
... = "/" 0 . (3.4) More precisely, when we consider faults that happens in circuits, we will consider a local stochas- tic biased noise model, which distinguishes between two groups of faults. The first group, dephasing ...
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Stabilizer Codes and Quantum Error Correction
... the error syndrome takes a fair amount of time, the possibility of an error in the data while measuring the syndrome can- not be ...An error in the data in the middle of the syndrome measurement will ...
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Performance of topological codes for quantum error correction
... the error correction process – it is the algorithm which computes the op- erations needed to correct or compensate for the errors according to the measured syndrome, even when the measurement itself is ...
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The Effects of Quantum Error Correction on Noisy Systems
... a quantum error correcting code in terms of the physical infidelity, r, and derived equations for the calculation of process matrices up to a specified order in ...a quantum error correcting ...
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Optimizing Quantum Error Correction Codes with Reinforcement Learning
... a quantum computation, we ask how the structure of the quantum mechanical system itself can be changed, both a priori and during a compu- ...state-of-the-art quantum devices and ...actual ...
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Analysis of Quantum Error Correction Applicability on IBM-Q
... in quantum computers can be in a superposition of its base states: ● Quantum computer can perform computations on multiple states at the same time ...● Quantum computers can solve certain existing ...
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Quantum error correction of continuous-variable states with realistic resources
... We have shown here that by adjusting the classical gain of the CV teleporter, the outcome of this error-correction protocol may be significantly improved in the presence of truncation noise induced by a ...
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Homological Error Correction: Classical and Quantum Codes
... FOR QUANTUM ERROR CORRECTION A. Quantum error correcting codes Quantum error correction is the quantum analogue of its classical ...of quantum ...
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