Quantum Power Method by a Superposition of Time-Evolved States
نویسندگان
چکیده
We propose a quantum-classical hybrid algorithm of the power method, here dubbed as quantum to evaluate H^n|?? with computers, where n is non-negative integer, H^ time-independent Hamiltonian interest, and |?? state. show that number gates required for approximating H^n scales linearly in qubits, making it promising application near-term computers. Using numerical simulation, we method can control systematic errors large 100. As an application, combine our multireference Krylov-subspace-diagonalization scheme how one improve estimation ground-state energies fidelities found using variational-quantum-eigensolver scheme. Finally, outline other applications including several moment-based methods. numerically demonstrate connected-moment expansion imaginary-time evolution compare results Krylov-subspace diagonalization.16 MoreReceived 11 August 2020Revised 19 November 2020Accepted 7 January 2021DOI:https://doi.org/10.1103/PRXQuantum.2.010333Published by American Physical Society under terms Creative Commons Attribution 4.0 International license. Further distribution this work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasQuantum computationQuantum gatesQuantum simulationQuantum Information
منابع مشابه
Creation of macroscopic quantum superposition states by a measurement
We propose a novel protocol for the creation of macroscopic quantum superposition (MQS) states based on a measurement of a non-monotonous function of a quantum collective variable. The main advantage of this protocol is that it does not require switching on and off nonlinear interactions in the system. We predict this protocol to allow the creation of multiatom MQS by measuring the number of at...
متن کاملImaginary Numbers as Quantum Superposition States and Time- like Dimension
The paper deals with the imaginary numbers from the perspective of mathematics, physics and philosophy. The core proposition is that the unitary imaginary number i is a double value number with the assigned not one but two different numbers at the same time, These numbers are proposed be: 1⁄2 and –1⁄2, fact of which is written in the so-called i-equation: i = [1⁄2, –1⁄2] or i = [–1⁄2,1⁄2]. Phil...
متن کاملHiding Quantum States in a Superposition
A method to hide certain quantum states in a superposition will be proposed. Such method can be used to increase the security of a communication channel. States represent an encrypted message will disappear during data exchange. This makes the message 100% safe under direct measurement by an eavesdropper. No entanglement sharing is required among the communicating parties.
متن کاملsolution of security constrained unit commitment problem by a new multi-objective optimization method
چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...
Quantum superposition of macroscopic persistent-current states.
Microwave spectroscopy experiments have been performed on two quantum levels of a macroscopic superconducting loop with three Josephson junctions. Level repulsion of the ground state and first excited state is found where two classical persistent-current states with opposite polarity are degenerate, indicating symmetric and antisymmetric quantum superpositions of macroscopic states. The two cla...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PRX quantum
سال: 2021
ISSN: ['2691-3399']
DOI: https://doi.org/10.1103/prxquantum.2.010333