10.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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7 papers · 2 filters
Approximate locality for quantum systems on graphs
Tobias J. Osborne
In this Letter we make progress on a longstanding open problem of Aaronson and Ambainis [Theory of Computing 1, 47 (2005)]: we show that if A is the adjacency matrix of a sufficien…
Subjective probability and quantum certainty
Carlton M. Caves, Christopher A. Fuchs, Ruediger Schack
In the Bayesian approach to quantum mechanics, probabilities--and thus quantum states--represent an agent's degrees of belief, rather than corresponding to objective properties of…
A Finite de Finetti Theorem for Infinite-Dimensional Systems
Christian D'Cruz, Tobias J. Osborne, Ruediger Schack
We formulate and prove a de Finetti representation theorem for finitely exchangeable states of a quantum system consisting of k infinite-dimensional subsystems. The theorem is vali…
Hypersensitivity and chaos signatures in the quantum baker's maps
A. J. Scott, Todd A. Brun, Carlton M. Caves +1
Classical chaotic systems are distinguished by their sensitive dependence on initial conditions. The absence of this property in quantum systems has lead to a number of proposals f…
The ground state of a class of noncritical 1D quantum spin systems can be approximated efficiently
Tobias J. Osborne
We study families H_n of 1D quantum spin systems, where n is the number of spins, which have a spectral gap ΔE between the ground-state and first-excited state energy that scales,…
General entanglement scaling laws from time evolution
Jens Eisert, Tobias J. Osborne
We establish a general scaling law for the entanglement of a large class of ground states and dynamically evolving states of quantum spin chains: we show that the geometric entropy…
Simulating adiabatic evolution of gapped spin systems
Tobias J. Osborne
We show that adiabatic evolution of a low-dimensional lattice of quantum spins with a spectral gap can be simulated efficiently. In particular, we show that as long as the spectral…