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Expressing and Analyzing Quantum Algorithms with Qualtran

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arxiv 2409.04643 v1 pith:R7Y5RTQT submitted 2024-09-06 quant-ph cs.PL

classification quant-phcs.PL
keywords qualtranquantumalgorithmsalgorithmanalyzingdevelopmentlibraryphysical
verification ladder T0 review T1 audit T2 compute T3 formal
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Quantum computing's transition from theory to reality has spurred the need for novel software tools to manage the increasing complexity, sophistication, toil, and fallibility of quantum algorithm development. We present Qualtran, an open-source library for representing and analyzing quantum algorithms. Using appropriate abstractions and data structures, we can simulate and test algorithms, automatically generate information-rich diagrams, and tabulate resource requirements. Qualtran offers a standard library of algorithmic building blocks that are essential for modern cost-minimizing compilations. Its capabilities are showcased through the re-analysis of key algorithms in Hamiltonian simulation, chemistry, and cryptography. Architecture-independent resource counts output by Qualtran can be forwarded to our implementation of cost models to estimate physical costs like wall-clock time and number of physical qubits assuming a surface-code architecture. Qualtran provides a foundation for explicit constructions and reproducible analysis, fostering greater collaboration within the growing quantum algorithm development community.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Resource Estimation for Fault-Tolerant Quantum Programs

    quant-ph 2026-08 conditional novelty 6.0 of 10

    A quantum programming language with per-codeblock error-correction annotations and a compositional resource estimator that tracks space, time, and error rates through joint Pauli measurements and decoding latency.

  2. Performance Model for Hybrid Quantum-Classical Workflows

    quant-ph 2026-07 conditional novelty 6.0 of 10

    A two-level runtime model decomposes hybrid quantum-classical cycles into quantum, classical, and communication time, allowing a communication-to-computation ratio to classify workflows as compute- or communication-bound.

  3. Automated Expected Cost Analysis for Quantum Programs

    cs.PL 2026-04 accept novelty 6.0 of 10

    Qet fully automatically infers precise upper bounds on expected costs of mixed classical-quantum programs with mid-circuit measurements and loops via a term-based quantum expectation transformer.

  4. Efficient and Explicit Block Encoding of Finite Difference Discretizations of the Laplacian

    quant-ph 2025-09 conditional novelty 6.0 of 10

    An explicit block-encoding circuit for the periodic finite-difference Laplacian in D dimensions, with sub-normalization factor D divided by the next power of two and success probability O(h^4) for smooth inputs.

  5. Designing quantum technologies with a quantum computer

    quant-ph 2026-01 conditional novelty 5.0 of 10

    A hybrid quantum–classical framework using sQKFF plus Gray encoding and qubit-wise commuting aggregation simulates NV-center spin-defect dynamics and spectra with 18–30% gate-count reductions.

  6. QB Ground State Energy Estimation Benchmark

    quant-ph 2025-08 conditional novelty 5.0 of 10

    A new ground-state energy estimation benchmark rates SHCI, DMRG, and double-factorized QPE, reporting near-universal SHCI solvability from an ML extrapolation that its own empirical table only partially supports.

  7. Medusa: Detecting and Removing Failures for Scalable Quantum Computing

    quant-ph 2025-11 conditional novelty 4.0 of 10

    Medusa automatically inserts and tunes flag qubits so that an N-qubit adder-like circuit achieves the failure rate of an (N-1)-qubit circuit under depolarizing CNOT noise.

  8. Quantum Arithmetic Circuits in Public-Key Cryptography

    quant-ph 2026-07 accept novelty 2.5 of 10

    A structured survey of optimized quantum adders, multipliers, modular exponentiation and point-addition circuits for public-key cryptanalysis, plus fault-tolerant resource estimation techniques.

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