After they have interacted, quantum particles generally behave as a single nonseparable
entangled system. The concept of entanglement plays an essential role in quantum physics …

We comprehensively review the quantum theory of the polarization properties of light. In
classical optics, these traits are characterized by the Stokes parameters, which can be …

We provide necessary and sufficient conditions for separability of mixed states of n-particle
systems. The conditions are formulated in terms of maps which are positive on product …

The number of steps any classical computer requires in order to find the prime factors of an l-
digit integer N increases exponentially with l, at least using algorithms known at present …

A central problem in quantum information is to determine the minimal physical resources
that are required for quantum computational speed-up and, in particular, for fault-tolerant …

With growing success in experimental implementations it is critical to identify a “gold
standard” for quantum information processing, a single measure of distance that can be …

We present an elementary proof of the quantum de Finetti representation theorem, a
quantum analog of de Finetti's classical theorem on exchangeable probability assignments …

Quantum computers [1–4] are explicitly quantum mechanical systems that use phenomena
such as superposition and entanglement to perform computational tasks more efficiently …

A solid-state implementation of a quantum computer composed entirely of silicon is
proposed. Qubits are 29 Si nuclear spins arranged as chains in a 28 Si (spin-0) matrix with …

We derive an experimentally testable criterion for the teleportation of quantum states of
continuous variables. This criterion is especially relevant to the recent experiment of …