One- and two-dimensional N-qubit systems in capacitively coupled quantum dots

Abstract

Coulomb blockade effects in capacitively coupled quantum dots can be utilized for constructing an N-qubit system with antiferromagnetic Ising interactions. Starting from the tunneling Hamiltonian, we theoretically show that the Hamiltonian for a weakly coupled quantum-dot array is reduced to that for nuclear magnetic resonance (NMR) spectroscopy. Quantum operations are carried out by applying only electrical pulse sequences. Thus various error-correction methods developed in NMR spectroscopy and NMR quantum computers are applicable without using magnetic fields. A possible measurement scheme in an N-qubit system is quantitatively discussed.

5 pages, revtex, 3 figures, to appear in Phys. Rev. A

References in corpus (6)

• The Physical Implementation of Quantum Computation
• Universal Quantum Computation with the Exchange Interaction
• Implementation of a three-quantum-bit search algorithm
• Transient current spectroscopy of a quantum dot in the Coulomb blockade regime
• Resonant electron transfer between quantum dots
• The Localization-Delocalization Transition in Quantum Dots

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