arXiv subjects

W. K. Wootters

Publications and source records attributed to W. K. Wootters.

2 recordsLinked to original sources

arXiv2002

High order correlations of generic pure states of finite-dimensional quantum systems are determined by lower order correlations

We show that almost every pure state of multi-party quantum systems (each of whose local Hilbert space has the same dimension) is completely determined by the state's reduced density matrices of a fraction of the parties; this fraction is less than about two-thirds of the parties for states of large numbers of parties. In other words once the reduced states of this fraction of the parties have been specified, there is no further freedom in the state.

quant-ph↗

arXiv2002

The power of reduced quantum states

In a system of n quantum particles, we define a measure of the degree of irreducible n-way correlation, by which we mean the correlation that cannot be accounted for by looking at the states of (n-1) particles. In the case of almost all pure states of three qubits we show that there is no such correlation: almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.

quant-ph↗