S. L. Braunstein,1 C. M. Caves,2 R. Jozsa,3 N. Linden,4 S. Popescu,4,5 and R. Schack2,6 1SEECS, University of Wales, Bangor LL57 1UT, United Kingdom 2Center for Advanced Studies, Department of… (More)

We present an elementary proof of the quantum de Finetti representation theorem, a quantum analogue of de Finetti’s classical theorem on exchangeable probability assignments. This contrasts with the… (More)

In a quantum-Bayesian take on quantum mechanics, the Born Rule cannot be interpreted as a rule for setting measurement-outcome probabilities from an objective quantum state. But if not, what is the… (More)

We state a quantum version of Bayes’s rule for statistical inference and give a simple general derivation within the framework of generalized measurements. The rule can be applied to measurements on… (More)

We present two complementary ways in which Saraceno's symmetric version of the quantum baker's map can be written as a shift map on a string of quantum bits. One of these representations leads… (More)

Given a list of N states with probabilities 0 < p1 ≤ · · · ≤ pN , the average conditional algorithmic information Ī to specify one of these states obeys the inequality H ≤ Ī < H + O(1), where H = −… (More)

We describe a quantum algorithm to prepare an arbitrary pure state of a register of a quantum computer with fidelity arbitrarily close to 1. Our algorithm is based on Grover’s quantum search… (More)

By numerically simulating an implementation of the quantum baker’s map on a 3-qubit NMR quantum computer based on the molecule trichloroethylene, we demonstrate the feasibility of quantum chaos… (More)

In a recent paper [e-print quant-ph/0101012], Hardy has given a derivation of ‘‘quantum theory from five reasonable axioms.’’ Here we show that Hardy’s first axiom, which identifies probability with… (More)

We present a classical model for bulk-ensemble NMR quantum computation: the quantum state of the NMR sample is described by a probability distribution over the orientations of classical tops, and… (More)