arXiv subjects

Anna M. Krol

Publications and source records attributed to Anna M. Krol.

3 recordsLinked to original sources

arXiv2024

Assessing the Requirements for Industry Relevant Quantum Computation

In this paper, we use open-source tools to perform quantum resource estimation to assess the requirements for industry-relevant quantum computation. Our analysis uses the problem of industrial shift scheduling in manufacturing and the Quantum Industrial Shift Scheduling algorithm. We base our figures of merit on current technology, as well as theoretical high-fidelity scenarios for superconducting qubit platforms. We find that the execution time of gate and measurement operations determines the overall computational runtime more strongly than the system error rates. Moreover, achieving a quantum speedup would not only require low system error rates ($10^{-6}$ or better), but also measurement operations with an execution time below 10ns. This rules out the possibility of near-term quantum advantage for this use case, and suggests that significant technological or algorithmic progress will be needed before such an advantage can be achieved.

quant-ph↗

arXiv2024

Beyond Quantum Shannon: Circuit Construction for General n-Qubit Gates Based on Block ZXZ-Decomposition

This paper proposes a new optimized quantum block-ZXZ decomposition method [7,8,10] that results in more optimal quantum circuits than the quantum Shannon decomposition (QSD)[27], which was introduced in 2006 by Shende et al. The decomposition is applied recursively to generic quantum gates, and can take advantage of existing and future small-circuit optimizations. Because our method uses only one-qubit gates and uniformly controlled rotation-Z gates, it can easily be adapted to use other types of multi-qubit gates. With the proposed decomposition, a general 3-qubit gate can be decomposed using 19 CNOT gates (rather than 20). For general $n$-qubit gates, the proposed decomposition generates circuits that have $\frac{22}{48}4^n - \frac{3}{2}2^n +\frac{5}{3}$ CNOT gates, which is less that the best known exact decomposition algorithm by $(4^{n-2} -1)/3$ CNOT gates.

quant-ph↗

arXiv2024

QISS: Quantum Industrial Shift Scheduling Algorithm

In this paper, we show the design and implementation of a quantum algorithm for industrial shift scheduling (QISS), which uses Grover's adaptive search to tackle a common and important class of valuable, real-world combinatorial optimization problems. We give an explicit circuit construction of the Grover's oracle, incorporating the multiple constraints present in the problem, and detail the corresponding logical-level resource requirements. Further, we simulate the application of QISS to specific small-scale problem instances to corroborate the performance of the algorithm, and we provide an open-source repository with our code, available on github.com/anneriet/QISS . Our work shows how complex real-world industrial optimization problems can be formulated in the context of Grover's algorithm, and paves the way towards important tasks such as physical-level resource estimation for this category of use cases.

quant-ph↗