Quantum Information Processing with Delocalized Qubits under Global Control

Abstract

Any technology for quantum information processing (QIP) must embody within it quantum bits (qubits) and maintain control of their key quantum properties of superposition and entanglement. Typical QIP schemes envisage an array of physical systems, such as electrons or nuclei, with each system representing a given qubit. For adequate control, systems must be distinguishable either by physical separation or unique frequencies, and their mutual interactions must be individually manipulable. These difficult requirements exclude many nanoscale technologies where systems are densely packed and continuously interacting. Here we demonstrate a new paradigm: restricting ourselves to global control pulses we permit systems to interact freely and continuously, with the consequence that qubits can become delocalized over the entire device. We realize this using NMR studies of three carbon-13 nuclei in alanine, demonstrating all the key aspects including a quantum mirror, one- and two-qubit gates, permutation of densely packed qubits and Deutsch algorithms.

4 pages, 5 figures

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Cited by in corpus (21)

• Quantum Computing with NMR
• Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter
• Dynamics and Control of a Quasi-1D Spin System
• Coherent state transfer via highly mixed quantum spin chains
• Information Transferring Ability of the Different Phases of a finite XXZ Spin Chain
• Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata
• Overcoming efficiency constraints on blind quantum computation
• Quantum Logic between Remote Quantum Registers
• Perfect state transfers by selective quantum interferences within complex spin networks
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• Entangled quantum cellular automata, physical complexity, and Goldilocks rules
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