Efficient quantum computation within a disordered Heisenberg spin-chain

Abstract

We show that efficient quantum computation is possible using a disordered Heisenberg spin-chain with `always-on' couplings. Such disorder occurs naturally in nanofabricated systems. Considering a simple chain setup, we show that an arbitrary two-qubit gate can be implemented using just three relaxations of a controlled qubit, which amounts to switching the on-site energy terms at most twenty-one times.

To appear in Phys. Rev. A

References in corpus (9)

• Quantum Computation with Quantum Dots
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• A geometric theory of non-local two-qubit operations
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Cited by in corpus (6)

• Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
• Cavity-Heisenberg spin chain quantum battery
• Realization of Heisenberg models of spin systems with polar molecules in pendular states
• 1-d Ising model using Kronecker sum and Kronecker product
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward
• Barenco gate implementation using driven two- and three-qubit spin chains