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Physical Review A

Preparation of arbitrary entangled quantum states of a trapped ion

B. Kneer, C. K. Law

Published Mar 1, 1998• 79 citations
Publisher

Abstract

We present a scheme that deterministically generates an arbitrary prescribed quantum entangled state of a trapped ion. The quantum entanglement is between the external (center-of-mass motion in one dimension) and the internal (electronic) state of the trapped ion. We examine the influence of technical errors in our scheme. Further we show how to entangle the center-of-mass motion of the confined ion in two dimensions.

DOI
10.1103/physreva.57.2096

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We present a scheme that deterministically generates an arbitrary prescribed quantum entangled state of a trapped ion. The quantum entanglement is between the external (center-of-mass motion in one dimension) and the internal (electronic) state of the trapped ion. We examine the influence of technical errors in our scheme. Further we show how to entangle the center-of-mass motion of the confined ion in two dimensions.
A scheme is proposed to generate an arbitrary entangled state of the two-dimensional vibrational motion of a trapped ion. In the scheme the ion is excited by a sequence of laser pulses tuned to the appropriate vibrational sidebands. In order to generate a pure state with upper phonon numbers M and N in the X and Y directions, respectively, we require no more than (M+2)(N+1)(M+2)(N+1)(M+2)(N+1) operations.