458 citations · 2.9k across the 39 of their papers we have counts for
6 papers · 2 filters
An efficient quantum algorithm for spectral estimation
A. Steffens, P. Rebentrost, I. Marvian +2
We develop an efficient quantum implementation of an important signal processing algorithm for line spectral estimation: the matrix pencil method, which determines the frequencies…
From clocks to cloners: Catalytic transformations under covariant operations and recoverability
Iman Marvian, Seth Lloyd
There are various physical scenarios in which one can only implement operations with a certain symmetry. Under such restriction, a system in a symmetry-breaking state can be used a…
Quantum singular value decomposition of non-sparse low-rank matrices
Patrick Rebentrost, Adrian Steffens, Seth Lloyd
In this work, we present a method to exponentiate non-sparse indefinite low-rank matrices on a quantum computer. Given an operation for accessing the elements of the matrix, our me…
Universal Quantum Emulator
Iman Marvian, Seth Lloyd
We propose a quantum algorithm that emulates the action of an unknown unitary transformation on a given input state, using multiple copies of some unknown sample input states of th…
How to quantify coherence: Distinguishing speakable and unspeakable notions
Iman Marvian, Robert W. Spekkens
Quantum coherence is a critical resource for many operational tasks. Understanding how to quantify and manipulate it also promises to have applications for a diverse set of problem…
Exponential suppression of decoherence and relaxation of quantum systems using energy penalty
Iman Marvian
One of the main methods for protecting quantum information against decoherence is to encode information in the ground subspace (or the low energy sector) of a Hamiltonian with a la…