Abstract
The most basic scenario of quantum control involves the organized manipulation of pure dynamical states of the system by means of unitary transformations. Recently, Vilela Mendes and Man'ko have shown that the conditions for controllability on the state space become less restrictive if unitary control operations may be supplemented by projective measurement. The present work builds on this idea, introducing the additional element of indirect measurement to achieve a kind of remote control. The target system that is to be remotely controlled is first entangled with another identical system, called the control system. The control system is then subjected to unitary transformations plus projective measurement. As anticipated by Schrödinger, such control via entanglement is necessarily probabilistic in nature. On the other hand, under appropriate conditions the remote-control scenario offers the special advantages of robustness against decoherence and a greater repertoire of unitary transformations. Simulations carried out for a two-level system demonstrate that, with optimization of control parameters, a substantial gain in the population of reachable states can be realized.
| Original language | English |
|---|---|
| Article number | 013406 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 71 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1 2005 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
Cite this
Probabilistic quantum control via indirect measurement. / Mandilara, A.; Clark, J. W.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 71, No. 1, 013406, 01.01.2005.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Probabilistic quantum control via indirect measurement
AU - Mandilara, A.
AU - Clark, J. W.
PY - 2005/1/1
Y1 - 2005/1/1
N2 - The most basic scenario of quantum control involves the organized manipulation of pure dynamical states of the system by means of unitary transformations. Recently, Vilela Mendes and Man'ko have shown that the conditions for controllability on the state space become less restrictive if unitary control operations may be supplemented by projective measurement. The present work builds on this idea, introducing the additional element of indirect measurement to achieve a kind of remote control. The target system that is to be remotely controlled is first entangled with another identical system, called the control system. The control system is then subjected to unitary transformations plus projective measurement. As anticipated by Schrödinger, such control via entanglement is necessarily probabilistic in nature. On the other hand, under appropriate conditions the remote-control scenario offers the special advantages of robustness against decoherence and a greater repertoire of unitary transformations. Simulations carried out for a two-level system demonstrate that, with optimization of control parameters, a substantial gain in the population of reachable states can be realized.
AB - The most basic scenario of quantum control involves the organized manipulation of pure dynamical states of the system by means of unitary transformations. Recently, Vilela Mendes and Man'ko have shown that the conditions for controllability on the state space become less restrictive if unitary control operations may be supplemented by projective measurement. The present work builds on this idea, introducing the additional element of indirect measurement to achieve a kind of remote control. The target system that is to be remotely controlled is first entangled with another identical system, called the control system. The control system is then subjected to unitary transformations plus projective measurement. As anticipated by Schrödinger, such control via entanglement is necessarily probabilistic in nature. On the other hand, under appropriate conditions the remote-control scenario offers the special advantages of robustness against decoherence and a greater repertoire of unitary transformations. Simulations carried out for a two-level system demonstrate that, with optimization of control parameters, a substantial gain in the population of reachable states can be realized.
UR - http://www.scopus.com/inward/record.url?scp=18444383373&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=18444383373&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.71.013406
DO - 10.1103/PhysRevA.71.013406
M3 - Article
VL - 71
JO - Physical Review A
JF - Physical Review A
SN - 1050-2947
IS - 1
M1 - 013406
ER -