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The Materials Research Society series

Entanglement

Ray LaPierre

Published Jan 1, 2021• 0 citations
Publisher

Abstract

There exist multiple qubit states that cannot be expressed as a product of individual qubit states. These states are called entangled states, which is another powerful resource used in quantum computing.
DOI
10.1007/978-3-030-69318-3_5

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A gate is called an entangler if it transforms some (pure) product states to entangled states. A universal entangler is a gate which transforms all product states to entangled states. In practice, a universal entangler is a very powerful device for generating entanglements, and thus provides important physical resources for accomplishing many tasks in quantum computing and quantum information. This paper demonstrates that a universal entangler always exists except for a degenerated case. Nevertheless, the problem how to find a universal entangler remains open.