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Characterization and visualization of the state and entanglement of two spins

Scott N Walck and Nathan C Hansell

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We characterize and classify the quantum states of a pair of spin-½ particles in terms of the entanglement of the pair. We describe a general strategy for classifying the quantum states of entangled systems, and apply it to the simplest entangled system available - a pair of spin-½ particles. The method is based on local unitary transformations. We give a set of six parameters that describe an arbitrary pure state of a pair of spins, one of which is the entanglement of the pair. We discuss visual representations of the state of this system, and propose a visualization using a Bloch sphere for each subsystem and a disc to record the `shared' information.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

42.50.Dv Quantum state engineering and measurements

Subjects

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 4 (July 2001)

Received 15 November 2000, in final form 5 March 2001



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