|
| related topics |
| {phase, path, phys} |
| {group, space, representation} |
| {qubit, qubits, gate} |
| {operator, operators, space} |
| {error, code, errors} |
| {state, states, entangled} |
| {time, decoherence, evolution} |
| {observables, space, algebra} |
| {let, theorem, proof} |
| {state, states, coherent} |
| {equation, function, exp} |
|
Holonomic Quantum Computation
Paolo Zanardi, Mario Rasetti
abstract: We show that the notion of generalized Berry phase i.e., non-abelian
holonomy, can be used for enabling quantum computation. The computational space
is realized by a $n$-fold degenerate eigenspace of a family of Hamiltonians
parametrized by a manifold $\cal M$. The point of $\cal M$ represents classical
configuration of control fields and, for multi-partite systems, couplings
between subsystem. Adiabatic loops in the control $\cal M$ induce non trivial
unitary transformations on the computational space. For a generic system it is
shown that this mechanism allows for universal quantum computation by composing
a generic pair of loops in $\cal M.$
- oai_identifier:
- oai:arXiv.org:quant-ph/9904011
- categories:
- quant-ph hep-th
- comments:
- Presentation improved, accepted by Phys. Lett. A, 5 pages LaTeX, no
figures
- doi:
- 10.1016/S0375-9601(99)00803-8
- arxiv_id:
- quant-ph/9904011
- journal_ref:
- Phys.Lett. A264 (1999) 94-99
- created:
- 1999-04-02
- updated:
- 1999-11-15
Full article ▸
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