Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.106.170501
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dc.titleQuantum simulation of time-dependent hamiltonians and the convenient illusion of hilbert space
dc.contributor.authorPoulin, D.
dc.contributor.authorQarry, A.
dc.contributor.authorSomma, R.
dc.contributor.authorVerstraete, F.
dc.date.accessioned2016-09-01T07:17:24Z
dc.date.available2016-09-01T07:17:24Z
dc.date.issued2011-04-29
dc.identifier.citationPoulin, D., Qarry, A., Somma, R., Verstraete, F. (2011-04-29). Quantum simulation of time-dependent hamiltonians and the convenient illusion of hilbert space. Physical Review Letters 106 (17) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.106.170501
dc.identifier.issn00319007
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/126306
dc.description.abstractWe consider the manifold of all quantum many-body states that can be generated by arbitrary time-dependent local Hamiltonians in a time that scales polynomially in the system size, and show that it occupies an exponentially small volume in Hilbert space. This implies that the overwhelming majority of states in Hilbert space are not physical as they can only be produced after an exponentially long time. We establish this fact by making use of a time-dependent generalization of the Suzuki-Trotter expansion, followed by a well-known counting argument. This also demonstrates that a computational model based on arbitrarily rapidly changing Hamiltonians is no more powerful than the standard quantum circuit model. © 2011 American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevLett.106.170501
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentCENTRE FOR QUANTUM TECHNOLOGIES
dc.description.doi10.1103/PhysRevLett.106.170501
dc.description.sourcetitlePhysical Review Letters
dc.description.volume106
dc.description.issue17
dc.description.page-
dc.description.codenPRLTA
dc.identifier.isiut000290100300004
Appears in Collections:Staff Publications

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