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dc.contributor.author
Boulebnane, Sami
dc.contributor.author
Woods, Mischa P.
dc.contributor.author
Renes, Joseph M.
dc.date.accessioned
2020-01-28T16:43:59Z
dc.date.available
2020-01-17T21:32:59Z
dc.date.available
2020-01-28T16:43:59Z
dc.date.issued
2019-09
dc.identifier.uri
http://hdl.handle.net/20.500.11850/391651
dc.description.abstract
With the advent of gravitational wave detectors employing squeezed light, quantum waveform estimation---estimating a time-dependent signal by means of a quantum-mechanical probe---is of increasing importance. As is well known, backaction of quantum measurement limits the precision with which the waveform can be estimated, though these limits can in principle be overcome by "quantum nondemolition" (QND) measurement setups found in the literature. Strictly speaking, however, their implementation would require infinite energy, as their mathematical description involves Hamiltonians unbounded from below. This raises the question of how well one may approximate nondemolition setups with finite energy or finite-dimensional realizations. Here we consider a finite-dimensional waveform estimation setup based on the "quasi-ideal clock" and show that the estimation errors due to approximating the QND condition decrease slowly, as a power law, with increasing dimension. As a result, we find that good QND approximations require large energy or dimensionality. We argue that this result can be expected to also hold for setups based on truncated oscillators or spin systems.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.subject
Quantum Physics
en_US
dc.subject
Mathematical Physics
en_US
dc.title
Approximate quantum non-demolition measurements
en_US
dc.type
Working Paper
dc.date.published
2019
ethz.journal.title
arXiv
ethz.pages.start
1909.05265
en_US
ethz.size
60 p.
en_US
ethz.identifier.arxiv
1909.05265
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
ethz.date.deposited
2020-01-17T21:33:06Z
ethz.source
BATCH
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-01-28T16:44:09Z
ethz.rosetta.lastUpdated
2020-01-28T16:44:09Z
ethz.rosetta.versionExported
true
ethz.COinS
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