Conditions for optimal construction of two-qubit nonlocal gates

Journal Article · Wed Jun 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.062331· OSTI ID:20717896

Yongsheng, Zhang; Mingyong, Ye; Guangcan, Guo ^[1]

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1. Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026 (China)

Optimal implementation of quantum gates is crucial for designing a quantum computer. The necessary condition for optimal construction of a two-qubit unitary operation is obtained. It can be proved that the B gate is the unique gate that can construct a two-qubit universal circuit with only two applications, i.e., this condition is also sufficient in the case of two applications of the elementary two-qubit gate. It is also shown that many perfect entanglers cannot simulate an arbitrary two-qubit gate with only three applications. We show how a two-qubit gate's construction power is related to the construction power of its mirror gate, and introduce a specific kind of two-qubit entangling gate, i.e., a super controlled gate, which can construct an arbitrary two-qubit gate by three applications.

• OSTI ID: 20717896
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ENERGY LEVELS
GATING CIRCUITS
OPERATION
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS