Physics – Quantum Physics
Scientific paper
2003-04-09
Int.J.Quantum Inform. 3 (2005) 633-647
Physics
Quantum Physics
19 pages, 6 figures; added a reference
Scientific paper
10.1142/S0219749905001456
A quantum circuit is generalized to a nonunitary one whose constituents are nonunitary gates operated by quantum measurement. It is shown that a specific type of one-qubit nonunitary gates, the controlled-NOT gate, as well as 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.
Terashima Hiroaki
Ueda Masahito
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