|
| related topics |
| {qubit, qubits, gate} |
| {entanglement, phys, rev} |
| {spin, pulse, spins} |
| {states, state, optimal} |
| {operator, operators, space} |
| {bell, inequality, local} |
| {time, decoherence, evolution} |
| {cos, sin, state} |
| {time, wave, function} |
|
Optimal two-qubit quantum circuits using exchange interactions
Heng Fan, Vwani Roychowdhury, Thomas Szkopek
abstract: The Heisenberg exchange interaction is a natural method to implement
non-local (i.e., multi-qubit) quantum gates in quantum information processing.
We consider quantum circuits comprising of $(SWAP)^\alpha $ gates, which are
realized through the exchange interaction, and single-qubit gates. A universal
two-qubit quantum circuit is constructed from only three $(SWAP)^\alpha$ gates
and six single-qubit gates. We further show that three $(SWAP)^\alpha $ gates
are not only sufficient, but necessary. Since six single-qubit gates are known
to be necessary, our universal two-qubit circuit is optimal in terms of the
number of {\em both} $(SWAP)^\alpha $ and single-qubit gates.
- oai_identifier:
- oai:arXiv.org:quant-ph/0410001
- categories:
- quant-ph
- comments:
- 4 pages
- doi:
- 10.1103/PhysRevA.72.052323
- arxiv_id:
- quant-ph/0410001
- journal_ref:
- Phys. Rev. A 72, 052323 (2005).
- created:
- 2004-09-30
- updated:
- 2005-07-15
Full article ▸
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