|
| related topics |
| {qubit, qubits, gate} |
| {measurement, state, measurements} |
| {states, state, optimal} |
| {state, phys, rev} |
| {algorithm, log, probability} |
| {let, theorem, proof} |
|
Nonunitary quantum circuit
Hiroaki Terashima, Masahito Ueda
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0304061
- categories:
- quant-ph
- comments:
- 19 pages, 6 figures; added a reference
- doi:
- 10.1142/S0219749905001456
- arxiv_id:
- quant-ph/0304061
- journal_ref:
- Int.J.Quantum Inform. 3 (2005) 633-647
- created:
- 2003-04-09
- updated:
- 2005-04-06
Full article ▸
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