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| related topics |
| {states, state, optimal} |
| {operator, operators, space} |
| {qubit, qubits, gate} |
| {spin, pulse, spins} |
| {algorithm, log, probability} |
| {cos, sin, state} |
| {state, algorithm, problem} |
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Efficient multiple-quantum transition processes in an n-qubit spin system
Xijia Miao
abstract: The whole Hilbert state space of an n-qubit spin system can be divided into
(n+1) state subspaces according to the angular momentum theory of quantum
mechanics. Here it is shown that any unknown state in such a state subspace,
whose dimensional size is proportional to either a polynomial or exponential
function of the qubit number n, can be transferred efficiently into a larger
subspace with a dimensional size generally proportional to an exponential
function of the qubit number by the multiple-quantum unitary transformation
with a subspace-selective multiple-quantum unitary operator. The efficient
quantum circuits for the subspace-selective multiple-quantum unitary operators
are really constructed.
- oai_identifier:
- oai:arXiv.org:quant-ph/0411046
- categories:
- quant-ph
- comments:
- 37 pages and no figure
- arxiv_id:
- quant-ph/0411046
- created:
- 2004-11-06
- updated:
- 2004-11-22
Full article ▸
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