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DOE OSTI · 1865588

Efficient Quantum Circuit Decompositions via Intermediate Qudits

Baker, Jonathan M.·Duckering, Casey·Chong, Frederic T.
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Abstract

Many quantum algorithms make use of ancilla, additional qubits used to store temporary information during computation, to reduce the total execution time. Quantum computers will be resource-constrained for years to come so reducing ancilla requirements is crucial. In this work, we give a method to generate ancilia out of idle qubits by placing some in higher-value states, called qudits. Here, we show how to take a circuit with many O(n) ancilla and design an ancilla-free circuit with the same asymptotic depth. Using this, we give a circuit construction for an in-place adder and a constant adder both with O(log n) depth using temporary qudits and no ancilla.

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97 MATHEMATICS AND COMPUTINGadder circuitmulti-valued logicquantum computingquditqutrit

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Baker, Jonathan M., Duckering, Casey, Chong, Frederic T.. 2020-11-01. Efficient Quantum Circuit Decompositions via Intermediate Qudits. https://doi.org/10.1109/ismvl49045.2020.9345604

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