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Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
A simple scheme to reduce readout errors in experiments on quantum systems with finite number of measurement outcomes, which relies on performing classical post-processing which is preceded by Quantum Detector Tomography, and results showing improvement for the implementation of certain probability distributions in the case of five qubits are presented.
Classical simulation of photonic linear optics with lost particles
We explore the possibility of efficient classical simulation of linear optics experiments under the effect of particle losses. Specifically, we investigate the canonical boson sampling scenario in…
Operational relevance of resource theories of quantum measurements
It is proved that every resource measurement offers advantage for some quantum state discrimination task, and an operational interpretation of robustness is given, which quantifies the minimal amount of noise that must be added to a measurement to make it free.
Simulating Positive-Operator-Valued Measures with Projective Measurements.
This work proves that every measurement on a given quantum system can be realized by classical randomization of projective measurements on the system plus an ancilla of the same dimension, and shows that deciding whether it is PM simulable can be solved by means of semidefinite programming.
Random bosonic states for robust quantum metrology
- M. Oszmaniec, R. Augusiak, C. Gogolin, Janek Kolody'nski, A. Ac'in, M. Lewenstein
- 17 February 2016
We study how useful random states are for quantum metrology, i.e., surpass the classical limits imposed on precision in the canonical phase estimation scenario. First, we prove that random pure…
Convexity of momentum map, Morse index, and quantum entanglement
We analyze from the topological perspective the space of all SLOCC (Stochastic Local Operations with Classical Communication) classes of pure states for composite quantum systems. We do it for both…
Fermion Sampling: A Robust Quantum Computational Advantage Scheme Using Fermionic Linear Optics and Magic Input States
Micha l Oszmaniec, Ninnat Dangniam, Mauro E.S. Morales, and Zoltán Zimborás 4, 5 Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warszawa, Poland∗ Centre for…
Classical simulation of linear optics subject to nonuniform losses
If each beam splitter in a network induces some loss probability, non-uniform network designs cannot circumvent the efficient classical simulations based on losses, and it is proved that, for every input mode of the network, it is possible to commute layers of losses to the input.
How many invariant polynomials are needed to decide local unitary equivalence of qubit states
Given L-qubit states with the fixed spectra of reduced one-qubit density matrices, we find a formula for the minimal number of invariant polynomials needed for solving local unitary (LU) equivalence…
Fraction of isospectral states exhibiting quantum correlations
For several types of correlations: mixed-state entanglement in systems of distinguishable particles, particle entanglement in systems of indistinguishable bosons and fermions and non-Gaussian…