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Blind quantum computation (BQC) allows a client with limited quantum power to delegate his quantum computational task to a powerful server and still keep his input, output, and algorithm private. There are mainly two kinds of models about…

Quantum Physics · Physics 2022-10-19 Qunfeng Dai , Junyu Quan , Xiaoping Lou , Qin Li

We present a framework for effectively simulating the execution of quantum circuits originally designed to demonstrate quantum supremacy using accessible high-performance computing (HPC) infrastructure. Building on prior CPU-only…

Quantum Physics · Physics 2025-12-09 Bob Wold , Venkateswaran Kasirajan

We introduce Exchange Quantum Polynomial Time (XQP) circuits, which comprise quantum computation using only computational basis SPAM and the isotropic Heisenberg exchange interaction. Structurally, this sub-universal model captures…

Quantum Physics · Physics 2026-03-31 Jędrzej Burkat , Sergii Strelchuk , Michał Studziński

Quantum circuits that are classically simulatable tell us when quantum computation becomes less powerful than or equivalent to classical computation. Such classically simulatable circuits are of importance because they illustrate what makes…

Quantum Physics · Physics 2022-01-26 Ryotaro Suzuki , Kosuke Mitarai , Keisuke Fujii

Quantum computation provides exponential speedup for solving certain mathematical problems against classical computers. Motivated by current rapid experimental progress on quantum computing devices, various models of quantum computation…

Quantum Physics · Physics 2018-03-28 Keisuke Fujii

Instantaneous Quantum Polynomial-time (IQP) circuits are a candidate for demonstrating near-term quantum advantage, as their sampling task is believed to be classically hard in the ideal theoretical setting under standard…

Quantum Physics · Physics 2026-04-15 Leonardo Placidi , Enrico Rinaldi , Keisuke Fujii , Chen-Yu Liu

Research has shown that quantum walks can accelerate certain quantum algorithms and act as a universal paradigm for quantum processing. The discrete-time quantum walk (DTQW) model, owing to its discrete nature, stands out as one of the most…

Quantum Physics · Physics 2024-08-06 Biswayan Nandi , Sandipan Singha , Ankan Datta , Amit Saha , Amlan Chakrabarti

Assuming the polynomial hierarchy is infinite, we prove a sufficient condition for determining if uniform and polynomial size quantum circuits over a non-universal gate set are not efficiently classically simulable in the weak…

Quantum Physics · Physics 2025-10-23 Chaitanya Karamchedu , Matthew Fox , Daniel Gottesman

In the wake of quantum computing advancements and quantum algorithmic progress, quantum algorithms are increasingly being employed to address a myriad of combinatorial optimization problems. Among these, the Independent Domination Problem…

Quantum Physics · Physics 2024-12-31 Haoqian Pan , Changhong Lu

We introduce a family of variational quantum algorithms called quantum iterative power algorithms (QIPA) that outperform existing hybrid near-term quantum algorithms of the same kind. We demonstrate the capabilities of QIPA as applied to…

Quantum samplers are believed capable of sampling efficiently from distributions that are classically hard to sample from. We consider a sampler inspired by the classical Ising model. It is nonadaptive and therefore experimentally amenable.…

Quantum Physics · Physics 2019-07-17 Theodoros Kapourniotis , Animesh Datta

We introduce a new paradigm for quantum computing called Ancilla-Driven Quantum Computation (ADQC) combines aspects of the quantum circuit and the one-way model to overcome challenging issues in building large-scale quantum computers.…

Quantum Physics · Physics 2010-08-12 Elham Kashefi , Daniel K. L. Oi , Daniel E. Browne , Janet Anders , Erika Andersson

Classical simulations of time-dependent quantum systems are widely used in quantum control research. In particular, these simulations are commonly used to host iterative optimal control algorithms. This is convenient for algorithms that are…

Quantum Physics · Physics 2021-11-23 Tyler Jones , Kaiah Steven , Xavier Poncini , Matthew Rose , Arkady Fedorov

Quantum computers are widely believed have an advantage over classical computers, and some have even published some empirical evidence that this is the case. However, these publications do not include a rigorous proof of this advantage,…

Computational Complexity · Computer Science 2022-09-22 Jonah Librande

Quantum circuits must run on quantum computers with tight limits on qubit and gate counts. To generate circuits respecting both limits, a promising opportunity is exploiting uncomputation to trade qubits for gates. We present Reqomp, a…

Quantum Physics · Physics 2024-02-21 Anouk Paradis , Benjamin Bichsel , Martin Vechev

Digital quantum computing paradigm offers highly-desirable features such as universality, scalability, and quantum error correction. However, physical resource requirements to implement useful error-corrected quantum algorithms are…

Quantum Physics · Physics 2020-07-17 Adrian Parra-Rodriguez , Pavel Lougovski , Lucas Lamata , Enrique Solano , Mikel Sanz

Quantum simulation with adiabatic annealing can provide insight into difficult problems that are impossible to study with classical computers. However, it deteriorates when the systems scale up due to the shrinkage of the excitation gap and…

Simulating quantum imaginary-time evolution (QITE) is a major promise of quantum computation. However, the known algorithms are either probabilistic (repeat until success) with impractically small success probabilities or coherent (quantum…

Quantum Physics · Physics 2023-11-02 Thais de Lima Silva , Márcio M. Taddei , Stefano Carrazza , Leandro Aolita

Quantum machine learning seeks to leverage quantum computers to improve upon classical machine learning algorithms. Currently, robust uncertainty quantification methods remain underdeveloped in the quantum domain, despite the critical need…

Machine Learning · Computer Science 2026-05-18 Douglas Spencer , Samual Nicholls , Michele Caprio

To harness the power of quantum computing (QC) in the near future, tight and efficient integration of QC with high performance computing (HPC) infrastructure (both on the software (SW) and the hardware (HW) level) is crucial. This paper…

Emerging Technologies · Computer Science 2024-07-29 Amr Elsharkawy , Xiaorang Guo , Martin Schulz