Quantum State Orthogonalization and a Toolset for Quantum Optomechanical Phonon Control

Author(s): M. R. Vanner, M. Aspelmeyer, M. S. Kim

Journal: Physical Review Letters

Volume: 110

Page(s): 010504

Year: 2013

DOI Number: 10.1103/PhysRevLett.110.010504

Link: Link to publication


We introduce a method that can orthogonalize any pure continuous variable quantum state, i.e., generate a state |ψ⊥⟩ from |ψ⟩ where ⟨ψ|ψ⊥⟩=0, which does not require significant a priori knowledge of the input state. We illustrate how to achieve orthogonalization using the Jaynes-Cummings or beamsplitter interaction, which permits realization in a number of physical systems. Furthermore, we demonstrate how to orthogonalize the motional state of a mechanical oscillator in a cavity optomechanics context by developing a set of coherent phonon level operations. As the mechanical oscillator is a stationary system, such operations can be performed at multiple times providing considerable versatility for quantum state engineering applications. Utilizing this, we additionally introduce a method how to transform any known pure state into any desired target state.

Note: http://arxiv.org/abs/1203.4525

File: Link to PDF

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