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The Robust Phase Estimation (RPE) protocol was designed to be an efficient and robust way to calibrate quantum operations. The robustness of RPE refers to its ability to estimate a single parameter, usually gate amplitude, even when other…

量子物理 · 物理学 2019-11-12 Adam M. Meier , Karl A. Burkhardt , Brian J. McMahon , Creston D. Herold

Accurate calibration of control parameters in quantum gates is crucial for high-fidelity operations, yet it represents a significant time and resource challenge, necessitating periods of downtime for quantum computers. Robust Phase…

量子物理 · 物理学 2024-07-29 Travis Hurant , Ke Sun , Zhubing Jia , Jungsang Kim , Kenneth R. Brown

This paper is an algorithmic study of quantum phase estimation with multiple eigenvalues. We present robust multiple-phase estimation (RMPE) algorithms with Heisenberg-limited scaling. The proposed algorithms improve significantly from the…

量子物理 · 物理学 2023-10-26 Haoya Li , Hongkang Ni , Lexing Ying

Estimating a quantum phase is a necessary task in a wide range of fields of quantum science. To accomplish this task, two well-known methods have been developed in distinct contexts, namely, Ramsey interferometry (RI) in atomic and…

An important step in building a quantum computer is calibrating experimentally implemented quantum gates to produce operations that are close to ideal unitaries. The calibration step involves estimating the systematic errors in gates and…

量子物理 · 物理学 2021-10-22 Shelby Kimmel , Guang Hao Low , Theodore J. Yoder

It is well-known that adaptive homodyne estimation of continuously varying optical phase provides superior accuracy in the phase estimate as compared to adaptive or non-adaptive static estimation. However, most phase estimation schemes rely…

最优化与控制 · 数学 2015-09-14 Shibdas Roy , Ian R. Petersen , Elanor H. Huntington

The calibration of high-quality two-qubit entangling gates is an essential component in engineering large-scale, fault-tolerant quantum computers. However, many standard calibration techniques are based on randomized circuits that are only…

We present a scalable formal verification methodology for Quantum Phase Estimation (QPE) circuits. Our approach uses a symbolic qubit abstraction based on quantifier-free bit-vector logic, capturing key quantum phenomena, including…

量子物理 · 物理学 2026-03-20 Arun Govindankutty , Sudarshan K. Srinivasan

Quantum phase estimation (QPE) serves as a building block of many different quantum algorithms and finds important applications in computational chemistry problems. Despite the rapid development of quantum hardware, experimental…

量子物理 · 物理学 2024-03-01 Kentaro Yamamoto , Samuel Duffield , Yuta Kikuchi , David Muñoz Ramo

Accurate phase estimation -- the process of assigning phase values between $0$ and $2\pi$ to repetitive or periodic signals -- is a cornerstone in the analysis of oscillatory signals across diverse fields, from neuroscience to robotics,…

信号处理 · 电气工程与系统科学 2026-03-19 Antonio Spallone , Marco Coraggio , Francesco De Lellis , Mario di Bernardo

We propose a phase-difference estimation algorithm based on the tensor-network circuit compression, leveraging time-evolution data to pursue scalability and higher accuracy on a quantum phase estimation (QPE)-type algorithm. Using tensor…

量子物理 · 物理学 2026-05-19 Shu Kanno , Kenji Sugisaki , Rei Sakuma , Jumpei Kato , Hajime Nakamura , Naoki Yamamoto

We numerically investigate quantum circuit elementary-gate level instantiations of the standard Quantum Phase Estimation (QPE) algorithm for the task of computing the ground-state energy of a quantum magnet; the disordered fully-connected…

量子物理 · 物理学 2026-03-02 Elijah Pelofske , Stephan Eidenbenz

As a signal recovery algorithm, compressed sensing is particularly useful when the data has low-complexity and samples are rare, which matches perfectly with the task of quantum phase estimation (QPE). In this work we present a new…

量子物理 · 物理学 2025-01-01 Changhao Yi , Cunlu Zhou , Jun Takahashi

We provide a new efficient adaptive algorithm for performing phase estimation that does not require that the user infer the bits of the eigenphase in reverse order; rather it directly infers the phase and estimates the uncertainty in the…

量子物理 · 物理学 2016-07-06 Nathan Wiebe , Christopher E Granade

Due to its significance as a subroutine, in this work, we consider the coherent version of the quantum phase estimation problem, where given an arbitrary input state and black-box access to unitaries $U$ and controlled-$U$, the goal is to…

量子物理 · 物理学 2026-04-20 Dhrumil Patel , Shi Jie Samuel Tan , Yigit Subasi , Andrew T. Sornborger

Optimal phase estimation protocols require complex state preparation and readout schemes, generally unavailable or unscalable in many quantum platforms. We develop and analyze a scheme that achieves near-optimal precision up to a constant…

量子物理 · 物理学 2026-02-16 Su Direkci , Ran Finkelstein , Manuel Endres , Tuvia Gefen

Quantum phase estimation (QPE) is a central algorithmic primitive that estimates eigenvalues of a Hamiltonian up to precision $\epsilon$ in Heisenberg-limited time $T=\Theta(1/\epsilon)$. Standard gate-based implementations of QPE require…

量子物理 · 物理学 2026-05-22 Alexander Schmidhuber , Seth Lloyd

Quantum effects like entanglement and coherent amplification can be used to drastically enhance the accuracy of quantum parameter estimation beyond classical limits. However, challenges such as decoherence and time-dependent errors hinder…

量子物理 · 物理学 2025-02-18 Yulong Dong , Jonathan A. Gross , Murphy Yuezhen Niu

Quantum Phase Estimation (QPE) is a cornerstone algorithm for fault-tolerant quantum computation, especially for electronic structure calculations of chemical systems. To accommodate the diverse characteristics of quantum chemical systems,…

量子物理 · 物理学 2025-10-03 Calvin Ku , Yu-Cheng Chen , Alice Hu , Min-Hsiu Hsieh

Quantum phase estimation (QPE) is one of the most important subroutines in quantum computing. In general applications, current QPE algorithms either suffer an exponential time overload or require a set of - notoriously quite fragile - GHZ…

量子物理 · 物理学 2021-10-04 Luca Pezzè , Augusto Smerzi
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