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Bulletin of the American Physical Society

Classically reversible logic gate coupled to a superconducting qubit: Qubit simulation (pt. 2)

Waltraut Wustmann, Kevin D. Osborn

Published Mar 4, 2019• 0 citations
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One of the most important features of the quantum computing circuits that distinguishes them from the traditional computational models is their full, physical and logical, reversibility at all stages of the calculations. This makes the large-scale architecture of potential quantum and classical reversible computers quite similar. The goal of this work is to analyze this similarity in the case of reversible superconducting logic circuits based on the recently suggested elementary gate, the nSQUID. Specifically, we present the results of numerical simulations and some limited measurements of a reversible 8-bit circular shift register fabricated at HYPRES, Inc., and working in the classical mode. The measured energy dissipation per bit operation per nSQUID is still about 20 times higher than the thermodynamic reversibility threshold of kBTIn 2 at T ap 4 K. We also discuss qualitatively operation of the reversible circuits of galvan- ically-coupled nSQUIDs in the quantum mode which provides the basis for implementation of "flying" superconducting qubits. Such qubits have several attractive features for Josephson-junction quantum logic devices beyond the single- or two-qubit circuits.
We examine the possibility of coherent reversible information transfer between solid-state superconducting qubits and ensembles of ultracold atoms. Strong coupling between these systems is mediated by a microwave transmission line resonator that interacts near resonantly with the atoms via their optically excited Rydberg states. The solid-state qubits can then be used to implement rapid quantum logic gates, while collective metastable states of the atoms can be employed for long-term storage and optical readout of quantum information.
Reversible logic is gaining significant consideration as the potential logic design style for implementation in modern nanotechnology and quantum computing with minimal impact on physical entropy. Recent advances in reversible logic allow schemes for computer architectures using improved quantum computer algorithms. We present a VHDL behavioral model for the design and simulation of the quantum interactions of qubits in theoretical reversible logic structures. Modeling IQ gates, as opposed to only Control-V gates or Toffoli gates, allows for a more robust model that more accurately reflects a theoretical reversible computing structure. This method is an extension to existing programming language and modeling method that allows for reversible logic structures to be designed, simulated, and verified. To the best of our knowledge, this is the first work in the behavioral model of integrated qubit gates.