1. Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80303, USA
2. Atomic Physics Division, NIST, Gaithersburg, Maryland 20899, USA
3. Research Electro-Optics, 1855 S. 57th Ct., Boulder, Colorado 80301 , USA

Correspondence to: C. Monroe¹ Correspondence and requests for materials should be addressed to C. M. (e-mail: Email: monroe@boulder.nist.gov).

Abstract

Quantum mechanics allows for many-particle wavefunctions that cannot be factorized into a product of single-particle wavefunctions, even when the constituent particles are entirely distinct. Such 'entangled' states explicitly demonstrate the non-local character of quantum theory¹, having potential applications in high-precision spectroscopy², quantum communication, cryptography and computation³. In general, the more particles that can be entangled, the more clearly nonclassical effects are exhibited^{4, 5}—and the more useful the states are for quantum applications. Here we implement a recently proposed entanglement technique⁶ to generate entangled states of two and four trapped ions. Coupling between the ions is provided through their collective motional degrees of freedom, but actual motional excitation is minimized. Entanglement is achieved using a single laser pulse, and the method can in principle be applied to any number of ions.

1. Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80303, USA
2. Atomic Physics Division, NIST, Gaithersburg, Maryland 20899, USA
3. Research Electro-Optics, 1855 S. 57th Ct., Boulder, Colorado 80301 , USA

Correspondence to: C. Monroe¹ Correspondence and requests for materials should be addressed to C. M. (e-mail: Email: monroe@boulder.nist.gov).