Quantum computing with antiferromagnetic spin clusters

Details Quantum computing with antiferromagnetic spin clusters Quantum computing with antiferromagnetic spin clusters

2003-04-12

arxiv.org/abs/cond-mat/0304296v2

Phys. Rev. B 68, 134417 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 7 figures; minor changes

Scientific paper

10.1103/PhysRevB.68.134417

We show that a wide range of spin clusters with antiferromagnetic intracluster exchange interaction allows one to define a qubit. For these spin cluster qubits, initialization, quantum gate operation, and readout are possible using the same techniques as for single spins. Quantum gate operation for the spin cluster qubit does not require control over the intracluster exchange interaction. Electric and magnetic fields necessary to effect quantum gates need only be controlled on the length scale of the spin cluster rather than the scale for a single spin. Here, we calculate the energy gap separating the logical qubit states from the next excited state and the matrix elements which determine quantum gate operation times. We discuss spin cluster qubits formed by one- and two-dimensional arrays of s=1/2 spins as well as clusters formed by spins s>1/2. We illustrate the advantages of spin cluster qubits for various suggested implementations of spin qubits and analyze the scaling of decoherence time with spin cluster size.

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