A quantum phase transition implementation of quantum measurement

Abstract

A model of quantum measurement, illustrated using the spin--boson model, is formulated in terms of a cascading pair of quantum phase transitions. The first produces the desired superposition of macroscopic responses to the microscopic state under investigation, while the second provides a mechanism for subsequent "wavefunction collapse," suppressing superpositions of distinct macroscopic states, producing instead a density matrix that implements the expected classical observation outcome via the Born probability rule. Motivated by numerous carefully designed measurements that may occur during the course of a quantum computation, effects of entanglement are investigated when the measurement is performed on only a subset of the microscopic degrees of freedom.

5 pages, plus 10 page supplementary material