Efficient quantum computing between remote qubits in linear nearest neighbor architectures

Efficient quantum computing between remote qubits in linear nearest neighbor architectures We propose a new scheme for implementing gate operations between remote qubits in linear nearest neighbor (LNN) architectures, one that does not require qubits to be adjacent to each other in order to perform a gate operation between them. The key feature of our scheme is a new two-control, one-target controlled-unitary gate operation, which we refer to as the C2(−I) gate. The gate operation can be implemented easily in a single step, requiring only a single control parameter of the system Hamiltonian. Using the C2(−I) gate, we show how to implement CNOT gate operations between remote qubits that do not have any direct coupling between them, along an LNN array. Since this is achieved without requiring swap operations or additional ancilla qubits in the circuit, the quantum cost of our circuit can be more than 50 % lower than those using conventional swap methods. All CNOT gate operations between remote qubits can be achieved with fidelity greater than 99.5 %. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Efficient quantum computing between remote qubits in linear nearest neighbor architectures

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Science+Business Media, LLC
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-012-0485-5
Publisher site
See Article on Publisher Site

Abstract

We propose a new scheme for implementing gate operations between remote qubits in linear nearest neighbor (LNN) architectures, one that does not require qubits to be adjacent to each other in order to perform a gate operation between them. The key feature of our scheme is a new two-control, one-target controlled-unitary gate operation, which we refer to as the C2(−I) gate. The gate operation can be implemented easily in a single step, requiring only a single control parameter of the system Hamiltonian. Using the C2(−I) gate, we show how to implement CNOT gate operations between remote qubits that do not have any direct coupling between them, along an LNN array. Since this is achieved without requiring swap operations or additional ancilla qubits in the circuit, the quantum cost of our circuit can be more than 50 % lower than those using conventional swap methods. All CNOT gate operations between remote qubits can be achieved with fidelity greater than 99.5 %.

Journal

Quantum Information ProcessingSpringer Journals

Published: Sep 22, 2012

References

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