|
| related topics |
| {spin, pulse, spins} |
| {qubit, qubits, gate} |
| {operator, operators, space} |
| {phase, path, phys} |
| {cos, sin, state} |
| {states, state, optimal} |
| {state, algorithm, problem} |
| {time, decoherence, evolution} |
| {group, space, representation} |
|
Quantum Gate Design Metric
Navin Khaneja, Bjoern Heitmann, Andreas Spoerl, Haidong Yuan, Thomas Schulte-Herbrueggen, Steffen J. Glaser
abstract: What is the time-optimal way of realizing quantum operations? Here, we show
how important instances of this problem can be related to the study of shortest
paths on the surface of a sphere under a special metric. Specifically, we
provide an efficient synthesis of a controlled NOT (CNOT) gate between qubits
coupled indirectly via Ising-type couplings to a third spin. Our implementation
of the CNOT gate is more than twice as fast as conventional approaches. The
pulse sequences for efficient manipulation of our coupled spin system are
obtained by explicit computation of geodesics on a sphere under the special
metric. These methods are also used for the efficient synthesis of indirect
couplings and of the Toffoli gate. We provide experimental realizations of the
presented methods on a linear three-spin chain with Ising couplings.
- oai_identifier:
- oai:arXiv.org:quant-ph/0605071
- categories:
- quant-ph
- arxiv_id:
- quant-ph/0605071
- created:
- 2006-05-07
Full article ▸
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