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A QUBO Formulation for Qubit Allocation
Event Type
Quantum Computing
Registration Categories
TimeWednesday, 11 November 20203pm - 3:20pm EDT
LocationTrack 3
DescriptionTo run an algorithm on a quantum computer, one must choose an assignment from logical qubits in a circuit to physical qubits on quantum hardware. This task of initial qubit placement, or qubit allocation, is especially important on present-day quantum computers which have a limited number of qubits, connectivity constraints, and varying gate fidelities.

In this work, we formulate and implement the qubit placement problem as a quadratic, unconstrained binary optimization (QUBO) problem and solve it using simulated annealing to obtain a spectrum of initial placements. Compared to contemporary allocation methods available in tket and Qiskit, the QUBO method yields allocations with improved circuit depth for >50% of a large set of benchmark circuits, with many also requiring fewer CX gates.
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