Controlling Quantum State Reduction

Abstract

Every measurement leaves the object in a family of states indexed by the possible outcomes. This family, called the posterior states, is usually a family of the eigenstates of the measured observable, but it can be an arbitrary family of states by controlling the object-apparatus interaction. A potentially realizable object-apparatus interaction measures position in such a way that the posterior states are the translations of an arbitrary wave function. In particular, position can be measured without perturbing the object in a momentum eigenstate.

9 pages, REVTeX

References in corpus (3)

• Operations, Disturbance, and Simultaneous Measurability
• Measurements of Nondegenerate Discrete Observables
• Operational Characterization of Simultaneous Measurements in Quantum Mechanics

Cited by in corpus (9)

• Uncertainty Relations for Noise and Disturbance in Generalized Quantum Measurements
• Uncertainty Relations for Joint Measurements of Noncommuting Observables
• Physical content of Heisenberg's uncertainty relation: Limitation and reformulation
• Global information balance in quantum measurements
• Position measuring interactions and the Heisenberg uncertainty principle
• Operations, Disturbance, and Simultaneous Measurability
• Heisenberg's uncertainty relation: Violation and reformulation
• Simultaneous Measurement of Non-commuting Observables and Quantum Fractals on Complex Projective Spaces
• Circuit analysis of quantum measurement