Published January 2004
| Version v1
Journal article
Universal quantum circuit for two-qubit transformations with three controlled-NOT gates
Creators
- 1. Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125 (United States)
- 2. Center for Quantum Computer Technology and Department of Physics, University of Queensland, Brisbane 4072 (Australia)
Description
We consider quantum circuits made of controlled-NOT (CNOT) gates and single-qubit unitary gates and look for constructions that minimize the use of CNOT gates. We show, by means of an explicit quantum circuit, that three CNOT gates are necessary and sufficient in order to implement an arbitrary unitary transformation of two qubits. We also identify the subset of two-qubit gates that can be performed with only two CNOT gates and provide a simple characterization for them
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.69.010301;
- arXiv
- arXiv:quant-ph/0307177v2;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 69
- Journal Issue
- 1
- Journal Page Range
- p. 010301-010301.4
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36082518
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ENERGY LEVELS; GATING CIRCUITS; LOGIC CIRCUITS; QUANTUM MECHANICS; TRANSFORMATIONS; UNITARY SYMMETRY
- Descriptors DEC
- ELECTRONIC CIRCUITS; MECHANICS; SYMMETRY
Optional Information
- Notes
- (c) 2004 The American Physical Society