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Quantum control protocols are typically devised in the time domain, leaving their spectral behavior to emerge only a posteriori. Here, we invert this paradigm. Starting from a target frequency-domain filter, we employ the…

Quantum Physics · Physics 2025-06-23 Loris Maria Cangemi , Yoav Woldiger , Amikam Levy , Assaf Hamo

Quantum circuit simulation is important in the evolution of quantum software and hardware. Novel algorithms can be developed and evaluated by performing quantum circuit simulations on classical computers before physical quantum computers…

Quantum Physics · Physics 2024-10-22 Yu-Tsung Wu , Po-Hsuan Huang , Kai-Chieh Chang , Chia-Heng Tu , Shih-Hao Hung

To address the urgent need in the NISQ era for high-performance, scalable quantum compilers and to advance the integration of classical and quantum computing, we present QLLVM, an advanced Quantum-Classical co-compilation framework built on…

Quantum Physics · Physics 2026-04-17 Yu Zhu , Qiming Du , Yuqiong Jin , Woji He , Hang Lian , Xin Zhou , Jinchen Xu , Zheng Shan

We significantly enhance the simulation accuracy of initial Trotter circuits for Hamiltonian simulation of quantum systems by integrating first-order Riemannian optimization with tensor network methods. Unlike previous approaches, our…

Quantum Physics · Physics 2025-12-30 Isabel Nha Minh Le , Shuo Sun , Christian B. Mendl

Dynamic quantum circuits with mid-circuit measurement and classical feedforward are essential for near-term algorithms such as error mitigation, adaptive phase estimation, and Variational Quantum Eigensolvers (VQE), yet transpiling these…

Quantum Physics · Physics 2026-04-14 Vinooth Kulkarni , Jaehyun Lee , Adam Hutchings , Anas Albahri , Jai Nana , Shuai Xu , Vipin Chaudhary

This paper describes a quantum programming environment, named $Q|SI\rangle$. It is a platform embedded in the .Net language that supports quantum programming using a quantum extension of the $\mathbf{while}$-language. The framework of the…

Quantum Physics · Physics 2017-10-27 Shusen Liu , Xin Wang , Li Zhou , Ji Guan , Yinan Li , Yang He , Runyao Duan , Mingsheng Ying

Generalizing earlier work characterizing the quantum query complexity of computing a function of an unknown classical ``black box'' function drawn from some set of such black box functions, we investigate a more general quantum query model…

Quantum Physics · Physics 2007-05-23 Howard N. Barnum

Based on the connection between the categorical derivation of classical programs from specifications and the category-theoretic approach to quantum physics, this paper contributes to extending the laws of classical program algebra to…

Quantum Physics · Physics 2020-10-22 Ana Neri , Rui Soares Barbosa , José N. Oliveira

World-wide efforts aim at the realization of advanced quantum simulators and processors. However, despite the development of intricate hardware and pulse control systems, it may still not be generally known which effective quantum dynamics,…

Hamiltonian simulation on quantum computers is strongly constrained by gate counts, motivating techniques to reduce circuit depths. While tensor networks are natural competitors to quantum computers, we instead leverage them to support…

Quantum Physics · Physics 2025-06-04 Joe Gibbs , Lukasz Cincio

Quantum computing has shown tremendous promise in addressing complex computational problems, yet its practical realization is hindered by the limited availability of qubits for computation. Recent advancements in quantum hardware have…

Quantum Physics · Physics 2023-11-22 Kun Fang , Munan Zhang , Ruqi Shi , Yinan Li

We propose a method for finding approximate compilations of quantum unitary transformations, based on techniques from policy gradient reinforcement learning. The choice of a stochastic policy allows us to rephrase the optimization problem…

Quantum Physics · Physics 2022-09-14 David A. Herrera-Martí

Simulating many-body quantum systems is a promising task for quantum computers. However, the depth of most algorithms, such as product formulas, scales with the number of terms in the Hamiltonian, and can therefore be challenging to…

Quantum Physics · Physics 2023-04-19 Oriel Kiss , Michele Grossi , Alessandro Roggero

In the study of d-dimensional quantum channels $(d \geq 2)$, an assumption which is not very restrictive, and which has a natural physical interpretation, is that the corresponding Kraus operators form a representation of a Lie algebra.…

Quantum Physics · Physics 2007-05-23 William Gordon Ritter

Unital quantum channels, defined by their property of leaving the maximally mixed state invariant, form an important class of quantum operations. A distinguished subset of these channels can be represented as a probabilistic mixture of…

Quantum Physics · Physics 2026-03-19 Charlotte Bäcker , Konstantin Beyer , Walter T. Strunz

Analog quantum simulation leverages native hardware dynamics to emulate complex quantum systems with great efficiency by bypassing the quantum circuit abstraction. However, conventional compilation methods for analog simulators are…

Quantum Physics · Physics 2025-07-01 Junyu Zhou , Yuhao Liu , Shize Che , Anupam Mitra , Efekan Kökcü , Ermal Rrapaj , Costin Iancu , Gushu Li

Nielsen's geometric approach to quantum circuit complexity provides a Riemannian framework for quantifying the cost of implementing unitary (closed--system) dynamics. For open dynamics, however, the reduced evolution is described by quantum…

Quantum Physics · Physics 2026-01-05 Alberto Acevedo , Antonio Falcó

Qubits are a great way to build a quantum computer, but a limited way to program one. We replace the usual "states and gates" formalism with a "props and ops" (propositions and operators) model in which (a) the C*-algebra of observables…

Quantum Physics · Physics 2025-09-08 David Wakeham

Quantum computers are often treated as experimental add-ons that are loosely coupled to classical infrastructure through high-level interpreted languages and cloud-like orchestration. However, future deployments in both, high-performance…

Quantum Physics · Physics 2025-07-28 Ralf Ramsauer , Wolfgang Mauerer

We develop a framework which aims to simplify the analysis of quantum states and quantum operations by harnessing the potential of function programming paradigm. We show that the introduced framework allows a seamless manipulation of…

Quantum Physics · Physics 2013-07-19 Jarosław Adam Miszczak