dorsal/arxiv
View SchemaEfficient multiple-quantum transition processes in an n-qubit spin system
| Authors | Xijia Miao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411046 |
| URL | https://arxiv.org/abs/quant-ph/0411046 |
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.
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"abstract": "The whole Hilbert state space of an n-qubit spin system can be divided into\n(n+1) state subspaces according to the angular momentum theory of quantum\nmechanics. Here it is shown that any unknown state in such a state subspace,\nwhose dimensional size is proportional to either a polynomial or exponential\nfunction of the qubit number n, can be transferred efficiently into a larger\nsubspace with a dimensional size generally proportional to an exponential\nfunction of the qubit number by the multiple-quantum unitary transformation\nwith a subspace-selective multiple-quantum unitary operator. The efficient\nquantum circuits for the subspace-selective multiple-quantum unitary operators\nare really constructed.",
"arxiv_id": "quant-ph/0411046",
"authors": [
"Xijia Miao"
],
"categories": [
"quant-ph"
],
"title": "Efficient multiple-quantum transition processes in an n-qubit spin system",
"url": "https://arxiv.org/abs/quant-ph/0411046"
},
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