Entanglement phase diagrams from partial transpose moments
- URL: http://arxiv.org/abs/2212.10181v1
- Date: Tue, 20 Dec 2022 11:39:02 GMT
- Title: Entanglement phase diagrams from partial transpose moments
- Authors: Jose Carrasco, Matteo Votto, Vittorio Vitale, Christian Kokail,
Antoine Neven, Peter Zoller, Beno\^it Vermersch, Barbara Kraus
- Abstract summary: We analyze the entanglement properties of bipartite reduced states of a tripartite pure state.
We show that this ratio takes well-defined values in the thermodynamic limit for various families of entangled states.
Our results can be used to experimentally test necessary conditions for different types of mixed-state randomness.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present experimentally and numerically accessible quantities that can be
used to differentiate among various families of random entangled states. To
this end, we analyze the entanglement properties of bipartite reduced states of
a tripartite pure state. We introduce a ratio of simple polynomials of
low-order moments of the partially transposed reduced density matrix and show
that this ratio takes well-defined values in the thermodynamic limit for
various families of entangled states. This allows to sharply distinguish
entanglement phases, in a way that can be understood from a quantum information
perspective based on the spectrum of the partially transposed density matrix.
We analyze in particular the entanglement phase diagram of Haar random states,
states resulting form the evolution of chaotic Hamiltonians, stabilizer states,
which are outputs of Clifford circuits, Matrix Product States, and fermionic
Gaussian states. We show that for Haar random states the resulting phase
diagram resembles the one obtained via the negativity and that for all the
cases mentioned above a very distinctive behaviour is observed. Our results can
be used to experimentally test necessary conditions for different types of
mixed-state randomness, in quantum states formed in quantum computers and
programmable quantum simulators.
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