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9 papers · 2 filters
Hypothesis elimination on a quantum computer
Andrei N. Soklakov, Ruediger Schack
Hypothesis elimination is a special case of Bayesian updating, where each piece of new data rules out a set of prior hypotheses. We describe how to use Grover's algorithm to perfor…
Decoherence properties of arbitrarily long histories
Artur Scherer, Andrei N. Soklakov
Within the decoherent histories formulation of quantum mechanics, we consider arbitrarily long histories constructed from a fixed projective partition of a finite-dimensional Hilbe…
State preparation based on Grover's algorithm in the presence of global information about the state
Andrei N. Soklakov, Ruediger Schack
In a previous paper [quant-ph/0408045] we described a quantum algorithm to prepare an arbitrary state of a quantum register with arbitrary fidelity. Here we present an alternative…
Properties of the frequency operator do not imply the quantum probability postulate
Carlton M. Caves, Ruediger Schack
We review the properties of the frequency operator for an infinite number of systems and disprove claims in the literature that the quantum probability postulate can be derived fro…
Efficient state preparation for a register of quantum bits
Andrei N. Soklakov, Ruediger Schack
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 quan…
Quantum cryptography: a practical information security perspective
Kenneth G. Paterson, Fred Piper, Ruediger Schack
Quantum Key Exchange (QKE, also known as Quantum Key Distribution or QKD) allows communicating parties to securely establish cryptographic keys. It is a well-established fact that…
Initial states and decoherence of histories
Artur Scherer, Andrei N. Soklakov
We study decoherence properties of arbitrarily long histories constructed from a fixed projective partition of a finite dimensional Hilbert space. We show that decoherence of such…
Convex Hulls of Varieties and Entanglement Measures Based on the Roof Construction
Tobias J. Osborne
In this paper we study the problem of calculating the convex hull of certain affine algebraic varieties. As we explain, the motivation for considering this problem is that certain…
A simple necessary decoherence condition for a set of histories
Artur Scherer, Andrei N. Soklakov, Ruediger Schack
Within the decoherent histories formulation of quantum mechanics, we investigate necessary conditions for decoherence of arbitrarily long histories. We prove that fine-grained hist…