dorsal/arxiv
View SchemaThe basic principles to construct a generalized state-locking pulse field and simulate efficiently the reversible and unitary halting protocol of a universal quantum computer
| Authors | Xijia Miao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607144 |
| URL | https://arxiv.org/abs/quant-ph/0607144 |
Abstract
It has been shown (Arxiv: quant-ph/0507236) that a universal quantum computer could be powerful enough to solve efficiently the quantum search problem, and the reversible and unitary halting protocol based on the state-locking pulse field is the key component to construct the efficient quantum search processes, while the state-locking pulse field is the key component to generate the reversible and unitary halting protocol. In this paper the reversible and unitary halting protocol and the generalized state-locking pulse field have been extensively investigated theoretically. The basic principles to construct the state-locking pulse field and design the reversible and unitary halting protocol are studied in detail. A generalized state-locking pulse field is generally dependent upon the time and space variables. It could be a sequence of time- and space-dependent electromagnetic pulse fields and could also contain the time- and space-dependent potential fields. Thus, the reversible and unitary halting protocol built up out of the state-locking pulse field generally consists of a sequence of time- and space-dependent unitary evolution processes. It is shown how the quantum control process is constructed to simulate efficiently the reversible and unitary halting protocol. An improved subspace-reduction quantum program and circuit based on the reversible and unitary halting protocol is proposed as the key component to construct further an efficient quantum search process. A simple atomic physical system that is an atomic ion or a neutral atom in the double-well potential field is proposed to show how the state-locking pulse field is generated and how to implement the reversible and unitary halting protocol.
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"abstract": "It has been shown (Arxiv: quant-ph/0507236) that a universal quantum computer\ncould be powerful enough to solve efficiently the quantum search problem, and\nthe reversible and unitary halting protocol based on the state-locking pulse\nfield is the key component to construct the efficient quantum search processes,\nwhile the state-locking pulse field is the key component to generate the\nreversible and unitary halting protocol. In this paper the reversible and\nunitary halting protocol and the generalized state-locking pulse field have\nbeen extensively investigated theoretically. The basic principles to construct\nthe state-locking pulse field and design the reversible and unitary halting\nprotocol are studied in detail. A generalized state-locking pulse field is\ngenerally dependent upon the time and space variables. It could be a sequence\nof time- and space-dependent electromagnetic pulse fields and could also\ncontain the time- and space-dependent potential fields. Thus, the reversible\nand unitary halting protocol built up out of the state-locking pulse field\ngenerally consists of a sequence of time- and space-dependent unitary evolution\nprocesses. It is shown how the quantum control process is constructed to\nsimulate efficiently the reversible and unitary halting protocol. An improved\nsubspace-reduction quantum program and circuit based on the reversible and\nunitary halting protocol is proposed as the key component to construct further\nan efficient quantum search process. A simple atomic physical system that is an\natomic ion or a neutral atom in the double-well potential field is proposed to\nshow how the state-locking pulse field is generated and how to implement the\nreversible and unitary halting protocol.",
"arxiv_id": "quant-ph/0607144",
"authors": [
"Xijia Miao"
],
"categories": [
"quant-ph"
],
"title": "The basic principles to construct a generalized state-locking pulse field and simulate efficiently the reversible and unitary halting protocol of a universal quantum computer",
"url": "https://arxiv.org/abs/quant-ph/0607144"
},
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