Visualization of superposition of macroscopically distinct states

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dc.creatorMorimae, Tomoyuki
dc.creatorShimizu, Akira
dc.date2006-08-25
dc.date.accessioned2026-07-07T07:26:31Z
dc.date.available2026-07-07T07:26:31Z
dc.descriptionWe propose a method of visualizing superpositions of macroscopically distinct states in many-body pure states. We introduce a visualization function, which is a coarse-grained quasi joint probability density for two or more hermitian additive operators. If a state contains superpositions of macroscopically distinct states, one can visualize them by plotting the visualization function for appropriately taken operators. We also explain how to efficiently find appropriate operators for a given state. As examples, we visualize four states containing superpositions of macroscopically distinct states: the ground state of the XY model, that of the Heisenberg antiferromagnet, a state in Shor's factoring algorithm, and a state in Grover's quantum search algorithm. Although the visualization function can take negative values, it becomes non-negative (hence becomes a coarse-grained joint probability density) if the characteristic width of the coarse-graining function used in the visualization function is sufficiently large.
dc.description12pages, 21figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0608196
dc.identifierhttp://arxiv.org/abs/quant-ph/0608196
dc.identifierPhys. Rev. A 74, 052111 (2006)
dc.identifierdoi:10.1103/PhysRevA.74.052111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117107
dc.subjectQuantum Physics
dc.titleVisualization of superposition of macroscopically distinct states
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