Hamiltonian quantum simulation with bounded-strength controls
We propose dynamical control schemes for Hamiltonian simulation in many-body quantum systems that avoid instantaneous control operations and rely solely on realistic bounded-strength control Hamiltonians . Each simulation protocol consists of periodic repetitions of a basic control block, constructe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/4/045021 |
| _version_ | 1797751498062430208 |
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| author | Adam D Bookatz Pawel Wocjan Lorenza Viola |
| author_facet | Adam D Bookatz Pawel Wocjan Lorenza Viola |
| author_sort | Adam D Bookatz |
| collection | DOAJ |
| description | We propose dynamical control schemes for Hamiltonian simulation in many-body quantum systems that avoid instantaneous control operations and rely solely on realistic bounded-strength control Hamiltonians . Each simulation protocol consists of periodic repetitions of a basic control block, constructed as a modification of an ‘Eulerian decoupling cycle,’ that would otherwise implement a trivial (zero) target Hamiltonian. For an open quantum system coupled to an uncontrollable environment, our approach may be employed to engineer an effective evolution that simulates a target Hamiltonian on the system while suppressing unwanted decoherence to the leading order, thereby allowing for dynamically corrected simulation . We present illustrative applications to both closed- and open-system simulation settings, with emphasis on simulation of non-local (two-body) Hamiltonians using only local (one-body) controls . In particular, we provide simulation schemes applicable to Heisenberg-coupled spin chains exposed to general linear decoherence, and show how to simulate Kitaevʼs honeycomb lattice Hamiltonian starting from Ising-coupled qubits, as potentially relevant to the dynamical generation of a topologically protected quantum memory. Additional implications for quantum information processing are discussed. |
| first_indexed | 2024-03-12T16:49:25Z |
| format | Article |
| id | doaj.art-413a36d827a845569f849889455cb1ab |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:25Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-413a36d827a845569f849889455cb1ab2023-08-08T11:24:38ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116404502110.1088/1367-2630/16/4/045021Hamiltonian quantum simulation with bounded-strength controlsAdam D Bookatz0Pawel Wocjan1Lorenza Viola2Center for Theoretical Physics, Massachusetts Institute of Technology , Cambridge, Massachusetts 02139, USADepartment of Electrical Engineering and Computer Science, University of Central Florida , Orlando, Florida 32816, USADepartment of Physics and Astronomy, Dartmouth College , 6127 Wilder Laboratory, Hanover, New Hampshire 03755, USAWe propose dynamical control schemes for Hamiltonian simulation in many-body quantum systems that avoid instantaneous control operations and rely solely on realistic bounded-strength control Hamiltonians . Each simulation protocol consists of periodic repetitions of a basic control block, constructed as a modification of an ‘Eulerian decoupling cycle,’ that would otherwise implement a trivial (zero) target Hamiltonian. For an open quantum system coupled to an uncontrollable environment, our approach may be employed to engineer an effective evolution that simulates a target Hamiltonian on the system while suppressing unwanted decoherence to the leading order, thereby allowing for dynamically corrected simulation . We present illustrative applications to both closed- and open-system simulation settings, with emphasis on simulation of non-local (two-body) Hamiltonians using only local (one-body) controls . In particular, we provide simulation schemes applicable to Heisenberg-coupled spin chains exposed to general linear decoherence, and show how to simulate Kitaevʼs honeycomb lattice Hamiltonian starting from Ising-coupled qubits, as potentially relevant to the dynamical generation of a topologically protected quantum memory. Additional implications for quantum information processing are discussed.https://doi.org/10.1088/1367-2630/16/4/045021open-loop quantum controlquantum simulationHamiltonian engineeringEulerian cycle03.67.Lx03.65.Fd |
| spellingShingle | Adam D Bookatz Pawel Wocjan Lorenza Viola Hamiltonian quantum simulation with bounded-strength controls New Journal of Physics open-loop quantum control quantum simulation Hamiltonian engineering Eulerian cycle 03.67.Lx 03.65.Fd |
| title | Hamiltonian quantum simulation with bounded-strength controls |
| title_full | Hamiltonian quantum simulation with bounded-strength controls |
| title_fullStr | Hamiltonian quantum simulation with bounded-strength controls |
| title_full_unstemmed | Hamiltonian quantum simulation with bounded-strength controls |
| title_short | Hamiltonian quantum simulation with bounded-strength controls |
| title_sort | hamiltonian quantum simulation with bounded strength controls |
| topic | open-loop quantum control quantum simulation Hamiltonian engineering Eulerian cycle 03.67.Lx 03.65.Fd |
| url | https://doi.org/10.1088/1367-2630/16/4/045021 |
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