The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Preparation of entangled states by quantum Markov processes
Open accessAbstract
We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the corresponding master equation analytically. For certain states, such as the cluster states, we use this process to show that the jump operators can be chosen quasilocally, i.e. they act nontrivially only on a few, neighboring qubits. Furthermore, the relaxation time of this dissipative process is independent of the number of subsystems. We demonstrate the general formalism by considering arbitrary matrix-product states or projected entangled pair states. In particular, we show that the ground state of the Affleck-Kennedy-Lieb-Tasaki model can be prepared employing a quasi-local dissipative process.
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Cites
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On the generators of quantum dynamical semigroups
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Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
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Efficient Classical Simulation of Slightly Entangled Quantum Computations
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Cited by
Quantum computation and quantum-state engineering driven by dissipation
Verstraete, F., Wolf, M. M., & Ignacio Cirac, J. (2009) · Nature Physics · doi:10.1038/nphys1342 · Cited by 1,570
Weimer, H., Müller, M., Lesanovsky, I., Zoller, P., & Büchler, H. P. (2010) · Nature Physics · doi:10.1038/nphys1614 · Cited by 867
Self-citationQuantum trajectories and open many-body quantum systems
Daley, A. J. (2014) · Advances in Physics · doi:10.1080/00018732.2014.933502 · Cited by 853
A short introduction to the Lindblad master equation
Manzano, D. (2020) · AIP Advances · doi:10.1063/1.5115323 · Cited by 714
Symmetries and conserved quantities in Lindblad master equations
Albert, V. V., & Jiang, L. (2014) · Physical Review A · doi:10.1103/physreva.89.022118 · Cited by 448
Metadata
- Authors
- Kraus, B., Büchler, H. P., Diehl, S., Kantian, A., Micheli, A., & Zoller, P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2008-10-08
- Volume
- 78
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2057368709
- Cited by
- 760
- References
- 30
- FWCI
- 11.02
- Type
- journal article
- Language
- en
- Open access
- green
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- Kraus, B., Büchler, H. P., Diehl, S., Kantian, A., Micheli, A., & Zoller, P. (2008). Preparation of entangled states by quantum Markov processes. Physical Review A. https://doi.org/10.1103/physreva.78.042307
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