Implementability of two-qubit unitary operations over the butterfly network and the ladder network with free classical communication

Journal Article · Thu Dec 04 04:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4903117· OSTI ID:22390670

Akibue, Seiseki ^[1]; Murao, Mio ^[2]

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1. Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo (Japan)
2. Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo, Japan and NanoQuine, The University of Tokyo, Tokyo (Japan)

We investigate distributed implementation of two-qubit unitary operations over two primitive networks, the butterfly network and the ladder network, as a first step to apply network coding for quantum computation. By classifying two-qubit unitary operations in terms of the Kraus-Cirac number, the number of non-zero parameters describing the global part of two-qubit unitary operations, we analyze which class of two-qubit unitary operations is implementable over these networks with free classical communication. For the butterfly network, we show that two classes of two-qubit unitary operations, which contain all Clifford, controlled-unitary and matchgate operations, are implementable over the network. For the ladder network, we show that two-qubit unitary operations are implementable over the network if and only if their Kraus-Cirac number do not exceed the number of the bridges of the ladder.

• OSTI ID: 22390670
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1633; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
IMPLEMENTATION
NETWORK ANALYSIS
QUANTUM COMPUTERS
QUANTUM OPERATORS
QUBITS
UNITARITY