Entanglement RT Formula and Quantum Error Correction
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 ...
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Emerging Paradigms in Quantum Error Correction and Quantum Cryptography
... protection from the noise. While examples of good approximate QEC (AQEC) codes are known, characterizing these approximately correctable codes has remained an open problem. In this chapter, 1 we formulate a simple ...
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Quantum error correction of continuous-variable states with realistic resources
... Einstein-Podolsky-Rosen entanglement through the loss channel, purifying the entanglement using a noiseless linear amplifier (NLA), and then using it for continuous-variable teleportation of the input ...
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Duality of Quantum and Classical Error Correction Codes: Design Principles and Examples
... EA quantum codes was developed in [112], [116]–[118], which relies on the pre-sharing of entanglement between the transmitter and the ...EA quantum codes finally brought the performance of ...
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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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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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Novel Methods in Quantum Error Correction
... in quantum information and for always being very welcoming to visit his group and engage in ...for Quantum Computing (IQC) and the University of Wa- ...
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D.5 Quantum error correction
... (the error syndrome) is certainly ...what error has occurred, and does not allow us to infer anything about the value of a or b, that is, it contains no information about the state being ...a quantum ...
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Studies Of A Quantum Scheduling Algorithm And On Quantum Error Correction
... of quantum computer over classic computer. Quantum information theory, like classical information theory, deals with information which can be transmitted by using quantum systems as ...against ...
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Homological Error Correction: Classical and Quantum Codes
... homological error correction codes both classically and ...the quantum case, we show that for non- orientable surfaces it is impossible to construct homological codes based on qudits of dimension D > ...
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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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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
... The CPC framework provides a fail-safe template that guarantees a stabilizer code from the starting point of any sequence of parity checks. As such, we can think of the CPC framework as a tool that reduces the problem of ...
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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
... Quantum errors - representation on the Bloch Sphere ● A quantum state can be represented as a point on the Bloch Sphere. ● The points on the poles of the sphere are the base states, and any other point ...
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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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Modeling noise and error correction for Majorana-based quantum computing
... Alternatively, one could use a Majorana fermion code [24, 34, 35] to distinguish odd and even parity states, thereby correcting quasiparticle excitations before they can spread throughout the system. Such codes require ...
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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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