Quantum algorithms

Quantum phase estimation algorithm

In quantum computing, the quantum phase estimation algorithm (also referred to as quantum eigenvalue estimation algorithm), is a quantum algorithm to estimate the phase (or eigenvalue) of an eigenvector of a unitary operator. More precisely, given a unitary matrix and a quantum state such that , the algorithm estimates the value of with high probability within additive error , using qubits (without counting the ones used to encode the eigenvector state) and controlled-U operations. The algorithm was initially introduced by Alexei Kitaev in 1995. Phase estimation is frequently used as a subroutine in other quantum algorithms, such as Shor's algorithm and the quantum algorithm for linear systems of equations. (Wikipedia).

Quantum phase estimation algorithm
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Dominic Berry - Optimal scaling quantum linear systems solver via discrete adiabatic theorem

Recorded 25 January 2022. Dominic Berry of Macquarie University presents "Optimal scaling quantum linear systems solver via discrete adiabatic theorem" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Recently, several approaches to solving linear systems on a quantum compute

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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A quantum Sinai billiard, phase evolution

Simulation of Schrödinger's equation for a quantum particle in a Sinai billiard. Luminosity corresponds to the probability of finding the quantum particle (modulus of the wave function squared), and the color's hue represents the phase (argument) of the wave function. The initial state is

From playlist Schrödinger's equation

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Quantum Operators

Quantum Operators for measurements of Energy, Position, and Momentum in Quantum Physics. My Patreon page is at https://www.patreon.com/EugeneK

From playlist Physics

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Signal correlation functions for parameter estimation - A. Tilloy - Workshop 1 - CEB T2 2018

Antoine Tilloy (Max Plank Institut für Quantenoptik, Garching) / 17.05.2018 Signal correlation functions for parameter estimation When continuously measuring a quantum system, one is typically interested in reconstructing the quantum state in real time as a function of the measured signa

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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Experimental optical phase measurement at the exact (...) - H. Wiseman - PRACQSYS 2018 - CEB T2 2018

Howard M. Wiseman (Centre for Quantum Computation and Communication Technology - Australian Research Council & Centre for Quantum Dynamics, Griffith University, Brisbane, Queensland, Australia) / 03.07.2018 Experimental optical phase measurement at the exact Heisenberg limit The task of

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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Andrew Childs - Efficient quantum algorithm for dissipative nonlinear differential equations

Recorded 24 January 2022. Andrew Childs of the University of Maryland presents "Efficient quantum algorithm for dissipative nonlinear differential equations" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: While there has been extensive previous work on efficient quantum alg

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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Linear algebra for Quantum Mechanics

Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices. In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics or #quantum #physics. ****

From playlist Quantum Physics

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Yu Tong - Heisenberg-limited ground state energy estimation & early fault-tolerant quantum computers

Recorded 26 January 2022. Yu Tong of the University of California, Berkeley, presents "Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Under suitable assumptions, the quantum phase

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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Quantum Algorithms and Complexity by Ashwin Nayak

Dates: Thursday 03 Jan, 2013 - Saturday 05 Jan, 2013 Venue: ICTS-TIFR, IISc Campus, Bangalore The school aims to provide students and researchers an introduction to the field of quantum information, computation and communication. Topics that will be covered include introduction to quantu

From playlist Mini Winter School on Quantum Information and Computation

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Are You GOOD At Quantum Physics?

How Quickly Can You Solve THIS Quantum Physics Problem?!? #Quantum #Mechanics #Light #Frequency #NicholasGKK #Shorts

From playlist Quantum Mechanics

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Limits on spectral resolution measurements by (...) - A. Retzker - PRACQSYS 2018 - CEB T2 2018

Alex Retzker (D Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, Israel) / 04.07.2018 Limits on spectral resolution measurements by quantum probes for nano NMR The limits of frequency resolution in nano NMR experiments have been discussed extensively in recent years

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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A Quantum Monte Carlo Study of the Critical Phase in the Square Lattice Quantum...by Sreejit G J

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

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Iordanis Kerenidis - New results in quantum linear algebra - IPAM at UCLA

Recorded 25 January 2022. Iordanis Kerenidis of the Université Paris Diderot presents "New results in quantum linear algebra" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: We will describe some new results and optimized circuit constructions for quantum linear algebra. Lea

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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Jens Palsberg - Introduction to Quantum Algorithms - IPAM at UCLA

Recorded 22 February 2023. Jens Palsberg of the University of California, Los Angeles, presents "Introduction to Quantum Algorithms" at IPAM's Winter School on Contemporary Quantum Algorithms and Applications. Learn more online at: http://www.ipam.ucla.edu/programs/special-events-and-confe

From playlist 2023 Winter School on Contemporary Quantum Algorithms and Applications

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Anirban Chowdhury - Classical and quantum algorithms for estimating traces and partition functions

Recorded 26 January 2022. Anirban Chowdhury of the University of Waterloo presents "Classical and quantum algorithms for estimating traces and partition functions" at IPAM's Quantum Numerical Linear Algebra Workshop Abstract: Estimating the trace of matrix functions is a problem commonly e

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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Christine Silberhorn: Time-multiplexed quantum walks

Photonic quantum systems, which comprise multiple optical modes, have become an established platform for the experimental implementation of quantum walks. However, the implementation of large systems with many modes, this means for many step operations, a high and dynamic control of many d

From playlist Mathematical Physics

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Sign problems and quantum computers (Lecture - 04) by David B Kaplan

Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to

From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography

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Quantized Energy Equation (Quantum Physics)

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From playlist Quantum Mechanics

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Jin-Peng Liu - Efficient quantum algorithms for nonlinear ODEs and PDEs - IPAM at UCLA

Recorded 27 January 2022. Jin-Peng Liu of the University of Maryland presents "Efficient quantum algorithms for nonlinear ODEs and PDEs" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Nonlinear dynamics play a prominent role in many domains and are notoriously difficult to

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

Related pages

Parity measurement | Qubit | Quantum logic gate | Eigenvalues and eigenvectors | Quantum algorithm | Shor's algorithm | Exponentiation by squaring | Measurement in quantum mechanics | Unitary operator | Quantum algorithm for linear systems of equations | Quantum register | Unitary matrix | Hadamard transform | With high probability | Quantum Fourier transform | Quantum computing