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Article: Optimal asymmetric quantum cloning for quantum information and computation
Title | Optimal asymmetric quantum cloning for quantum information and computation |
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Authors | |
Keywords | Quantum cloning |
Issue Date | 2013 |
Citation | Quantum Information and Computation, 2013, v. 13, n. 9-10, p. 880-900 How to Cite? |
Abstract | While the no-cloning theorem, which forbids the perfect copying of quantum states, is well-known as one of the defining features of quantum mechanics, the question of how well the theory allows a state to be cloned is yet to be completely solved. In this paper, rigorous solutions to the problem of M → N asymmetric cloning of qudits are obtained in a number of interesting cases. The central result is the solution to the 1 → N universal asymmetric qudit cloning problem for which the exact trade-off in the fidelities of the clones for every N and d is derived. Analogous results are proven for qubits when M = N - 1. We also consider state-dependent 1 → N qubit cloning, providing a general parametrization in terms of a Heisenberg star Hamiltonian. In all instances, we determine the feasibility of implementing the cloning economically, i.e., without an ancilla, and determine the dimension of the ancilla when an economic implementation is not possible. © Rinton Press. |
Persistent Identifier | http://hdl.handle.net/10722/276955 |
ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.236 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Kay, Alastair | - |
dc.contributor.author | Ramanathan, Ravishankar | - |
dc.contributor.author | Kaszlikowshi, Dagomir | - |
dc.date.accessioned | 2019-09-18T08:35:10Z | - |
dc.date.available | 2019-09-18T08:35:10Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Quantum Information and Computation, 2013, v. 13, n. 9-10, p. 880-900 | - |
dc.identifier.issn | 1533-7146 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276955 | - |
dc.description.abstract | While the no-cloning theorem, which forbids the perfect copying of quantum states, is well-known as one of the defining features of quantum mechanics, the question of how well the theory allows a state to be cloned is yet to be completely solved. In this paper, rigorous solutions to the problem of M → N asymmetric cloning of qudits are obtained in a number of interesting cases. The central result is the solution to the 1 → N universal asymmetric qudit cloning problem for which the exact trade-off in the fidelities of the clones for every N and d is derived. Analogous results are proven for qubits when M = N - 1. We also consider state-dependent 1 → N qubit cloning, providing a general parametrization in terms of a Heisenberg star Hamiltonian. In all instances, we determine the feasibility of implementing the cloning economically, i.e., without an ancilla, and determine the dimension of the ancilla when an economic implementation is not possible. © Rinton Press. | - |
dc.language | eng | - |
dc.relation.ispartof | Quantum Information and Computation | - |
dc.subject | Quantum cloning | - |
dc.title | Optimal asymmetric quantum cloning for quantum information and computation | - |
dc.type | Article | - |
dc.identifier.scopus | eid_2-s2.0-84880279958 | - |
dc.identifier.volume | 13 | - |
dc.identifier.issue | 9-10 | - |
dc.identifier.spage | 880 | - |
dc.identifier.epage | 900 | - |
dc.identifier.isi | WOS:000324004400009 | - |
dc.identifier.issnl | 1533-7146 | - |