Nanometre-scale nuclear-spin device for quantum information processing

Abstract

We have developed semiconductor point contact devices in which nuclear spins in a nanoscale region are coherently controlled by all-electrical methods. Different from the standard nuclear-magnetic resonance technique, the longitudinal magnetization of nuclear spins is directly detected by measuring resistance, resulting in ultra-sensitive detection of the microscopic quantity of nuclear spins. All possible coherent oscillations have been successfully demonstrated between two levels from four nuclear spin states of I = 3/2 nuclei. Quantum information processing is discussed based on two fictitious qubits of an I = 3/2 system and methods are described for performing arbitrary logical gates both on one and two qubits. A scheme for quantum state tomography based on Mz-detection is also proposed. As the starting point of quantum manipulations, we have experimentally prepared the effective pure states for the I = 3/2 nuclear spin system.

16 pages, 5 figures

References in corpus (25)

• Quantum Computation with Quantum Dots
• Elementary gates for quantum computation
• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• NMR Techniques for Quantum Control and Computation
• Coherent manipulation of electronic states in a double quantum dot
• Experimental realization of a quantum algorithm
• Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
• Charge-qubit operation of an isolated double quantum dot
• Atomically precise placement of single dopants in Si
• An all silicon quantum computer
• Nuclear spin induced oscillatory current in spin-blocked quantum dots
• Effective Pure States for Bulk Quantum Computation
• Realization of quantum process tomography in NMR
• NMR Based Quantum Information Processing: Achievements and Prospects
• Coherence Time of a Solid-State Nuclear Qubit
• Electrically-Controlled Nuclear Spin Polarization and Relaxation by Quantum-Hall states
• A New Type of Electron Nuclear-Spin Interaction from Resistively Detected NMR in the Fractional Quantum Hall Effect Regime
• A Robust Method for Estimating the Lindblad Operators of a Dissipative Quantum Process from Measurements of the Density Operator at Multiple Time Points
• Quantum information processing with large nuclear spins in GaAs semiconductors
• Multiqubit Spin
• Use of Quadrupolar Nuclei for Quantum Information processing by Nuclear Magnetic Resonance: Implementation of a Quantum Algorithm
• The Grover algorithm with large nuclear spins in semiconductors
• Experimental realization of a continuous version of the Grover algorithm
• Efficient Quantum State Tomography for Quantum Information Processing using a two-dimensional Fourier Transform Technique
• Search for optimum labeling schemes in qubit systems for Quantum Information processing by NMR

Cited by in corpus (11)

• Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers
• Phase-space interference of states optically truncated by quantum scissors: Generation of distinct superpositions of qudit coherent states by displacement of vacuum
• Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
• Observing quantum non-locality in the entanglement between modes of massive particles
• Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers
• An efficient protocol of quantum walk in circuit QED
• Landauer-Büttiker approach for hyperfine mediated electronic transport in the integer quantum Hall regime
• On the geometry and invariants of qubits, quartits and octits
• Antiferromagnetic spin pumping via hyperfine interaction
• Quantum Entanglement and Teleportation of Quantum-Dot States in Microcavities
• Nuclear Spins in a Nanoscale Device for Quantum Information Processing