Paper No: 24
Blind Separation
of Quantum States: Estimating Two Qubits from an Isotropic Heisenberg
Spin Coupling Model
Author(s): Yannick Deville, Alain Deville
Abstract
Blind source separation (BSS) and Quantum Information Processing
(QIP) are two recent and rapidly evolving fields. No connection has ever
been made between them to our knowledge. However, future practical
QIP systems will probably involve "observed mixtures",
in the BSS sense, of quantum states (qubits), e.g. associated to
coupled spins. We here investigate how individual qubits may be
retrieved from Heisenberg-coupled versions of them,
and we show the relationship between this problem and
classical BSS. We thus introduce new nonlinear mixture models for qubits,
motivated by actual quantum physical devices.
We analyze the invertibility and ambiguities of these models.
We propose practical data processing methods for performing
inversions. |
