Strong entanglement causes low gate fidelity in inaccurate one-way quantum computation

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.060307· OSTI ID:21407869

Morimae, Tomoyuki ^[1]

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1. Laboratoire Paul Painleve, Universite Lille 1, F-59655 Villeneuve d'Ascq Cedex (France)

We study how entanglement among the register qubits affects the gate fidelity in the one-way quantum computation if a measurement is inaccurate. We derive an inequality that shows that the mean gate fidelity is upper bounded by a decreasing function of the magnitude of the error of the measurement and the amount of the entanglement between the measured qubit and other register qubits. The consequence of this inequality is that, for a given amount of entanglement, which is theoretically calculated once the algorithm is fixed, we can estimate from this inequality how small the magnitude of the error should be in order not to make the gate fidelity below a threshold, which is specified by a technical requirement in a particular experimental setup or by the threshold theorem of the fault-tolerant quantum computation.

• OSTI ID: 21407869
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
COMPUTERS
ERRORS
FUNCTIONS
INFORMATION
MATHEMATICAL LOGIC
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUBITS