Journal
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
Volume 3, Issue 4, Pages 633-647Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219749905001456
Keywords
quantum circuit; reversing measurement; quantum error correction
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A quantum circuit is generalized to a nonunitary one whose constituents are nounitary gates operated by quantum measurement. It is shown that a specific type of one-qubit nonunitary gates, the controlled-NOT gate, and all one-qubit unitary gates constitute a universal set of gates for the nonunitary quantum circuit, without the necessity of introducing ancilla qubits. A reversing measurement scheme is used to improve the probability of successful nonunitary gate operation. A quantum NAND gate and Abrams-Lloyd's nonlinear gate are analyzed as examples. Our nonunitary circuit can be used to reduce the qubit overhead needed to ensure fault-tolerant quantum computation.
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