CONTROL OF QUANTUM SYSTEMS
A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed against the background of recent ideas and advances in two s...
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| Published in | International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics Vol. 17; no. 28; pp. 5397 - 5411 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
World Scientific Publishing Company
10.11.2003
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0217-9792 1793-6578 |
| DOI | 10.1142/S021797920302051X |
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| Abstract | A quantum system subject to external fields is said to be controllable
if these fields can be adjusted to guide the state vector to a desired
destination in the state space of the system. Fundamental results on
controllability are reviewed against the background of recent ideas
and advances in two seemingly disparate endeavours: (i) laser
control of chemical reactions and (ii) quantum
computation. Using Lie-algebraic methods, sufficient conditions
have been derived for global controllability on a finite-dimensional
manifold of an infinite-dimensional Hilbert space, in the case that
the Hamiltonian and control operators, possibly unbounded, possess a
common dense domain of analytic vectors. Some simple examples
are presented. A synergism between quantum control and quantum
computation is creating a host of exciting new opportunities for both
activities. The impact of these developments on computational
many-body theory could be profound. |
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| AbstractList | A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed against the background of recent ideas and advances in two seemingly disparate endeavours: (i) laser control of chemical reactions and (ii) quantum computation. Using Lie-algebraic methods, sufficient conditions have been derived for global controllability on a finite-dimensional manifold of an infinite-dimensional Hilbert space, in the case that the Hamiltonian and control operators, possibly unbounded, possess a common dense domain of analytic vectors. Some simple examples are presented. A synergism between quantum control and quantum computation is creating a host of exciting new opportunities for both activities. The impact of these developments on computational many-body theory could be profound. A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed against the background of recent ideas and advances in two seemingly disparate endeavours: (i) laser control of chemical reactions and (ii) quantum computation. Using Lie-algebraic methods, sufficient conditions have been derived for global controllability on a finite-dimensional manifold of an infinite-dimensional Hilbert space, in the case that the Hamiltonian and control operators, possibly unbounded, possess a common dense domain of analytic vectors. Some simple examples are presented. A synergism between quantum control and quantum computation is creating a host of exciting new opportunities for both activities. The impact of these developments on computational many-body theory could be profound. |
| Author | CLARK, JOHN W. TARN, TZYH-JONG LUCARELLI, DENNIS G. |
| Author_xml | – sequence: 1 givenname: JOHN W. surname: CLARK fullname: CLARK, JOHN W. email: jwc@wuphys.wustl.edu organization: Department of Physics, Washington University, St. Louis, MO 63130, USA – sequence: 2 givenname: DENNIS G. surname: LUCARELLI fullname: LUCARELLI, DENNIS G. email: luc@zach.wustl.edu organization: Department of Systems Science & Mathematics, Washington University, St. Louis, MO 63130, USA – sequence: 3 givenname: TZYH-JONG surname: TARN fullname: TARN, TZYH-JONG email: tarn@wuauto.wustl.edu organization: Department of Systems Science & Mathematics, Washington University, St. Louis, MO 63130, USA |
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| CitedBy_id | crossref_primary_10_1063_PT_3_4698 crossref_primary_10_1103_PhysRevA_89_042329 crossref_primary_10_1142_S0219749911007186 crossref_primary_10_1088_1367_2630_15_9_095004 crossref_primary_10_1103_PRXQuantum_2_040324 crossref_primary_10_3390_e21080751 crossref_primary_10_1088_1367_2630_12_7_075008 crossref_primary_10_3182_20050703_6_CZ_1902_00432 crossref_primary_10_1088_1751_8113_40_21_015 crossref_primary_10_1103_PhysRevA_71_013406 crossref_primary_10_1140_epjqt_s40507_015_0022_4 crossref_primary_10_1038_nphys3115 crossref_primary_10_1051_cocv_2006014 crossref_primary_10_1016_j_sysconle_2014_06_009 crossref_primary_10_1103_PhysRevLett_107_170501 crossref_primary_10_1088_0953_8984_16_30_R02 crossref_primary_10_1038_ncomms14106 crossref_primary_10_1063_1_2138051 crossref_primary_10_1088_1751_8113_42_20_205301 crossref_primary_10_1103_PhysRevA_81_042317 crossref_primary_10_1109_TAC_2012_2195919 |
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| Snippet | A quantum system subject to external fields is said to be controllable
if these fields can be adjusted to guide the state vector to a desired
destination in... A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in... |
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| Title | CONTROL OF QUANTUM SYSTEMS |
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