Superconducting circuit quantum computing with nanomechanical resonators as storage

Abstract

We analyze the quantum information processing capability of a superconducting transmon circuit used to mediate interactions between quantum information stored in a collection of phononic crystal cavity resonators. Having only a single processing element to be controlled externally makes this approach significantly less hardware-intensive than traditional architectures with individual control of each qubit. Moreover, when compared with the commonly considered alternative approach using coplanar waveguide or 3d cavity microwave resonators for storage, the nanomechanical resonators offer both very long lifetime and small size -- two conflicting requirements for microwave resonators. A detailed gate error analysis leads to an optimal value for the qubit-resonator coupling rate as a function of the number of mechanical resonators in the system. For a given set of system parameters, a specific amount of coupling and number of resonators is found to optimize the quantum volume, an approximate measure for the computational capacity of a system. We see this volume is higher in the proposed hybrid nanomechanical architecture than in the competing on-chip electromagnetic approach.

References in corpus (7)

• Quantum Computing in the NISQ era and beyond
• Charge insensitive qubit design derived from the Cooper pair box
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• Qubit-assisted transduction for a detection of surface acoustic waves near the quantum limit
• Coupling a superconducting quantum circuit to a phononic crystal defect cavity
• Quasi-two-dimensional optomechanical crystals with a complete phononic bandgap
• Prospects for quantum acoustics with phononic crystal devices

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