Results 71 to 80 of about 9,805 (195)

Photonic Metrology with Hierarchic Quantum Frequentist Bounds

open access: yesAdvanced Photonics Research, Volume 6, Issue 12, December 2025.
This paper proposes photonic metrology with hierarchical quantum frequentist bounds. The present model tightens the Quantum Cramér‐Rao Bound using a hybrid classical‐quantum framework. The experiment validates the hierarchical frequentist bounds for single‐qubit phase estimation.
Xin‐Zhu Liu   +6 more
wiley   +1 more source

Morphophoric POVMs, generalised qplexes, and 2-designs [PDF]

open access: yesQuantum, 2020
We study the class of quantum measurements with the property that the image of the set of quantum states under the measurement map transforming states into probability distributions is similar to this set and call such measurements morphophoric. This leads to the generalisation of the notion of a qplex, where SIC-POVMs are replaced by the elements of ...
Wojciech Słomczyński, Anna Szymusiak
openaire   +4 more sources

Statistical Complexity of Quantum Learning

open access: yesAdvanced Quantum Technologies, Volume 8, Issue 12, December 2025.
The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi   +3 more
wiley   +1 more source

Extremal covariant measurements

open access: yes, 2006
We characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is generally non-
Chuang I. L.   +5 more
core   +2 more sources

Randomized Benchmarking beyond Groups

open access: yesPRX Quantum, 2022
Randomized benchmarking (RB) is the gold standard for experimentally evaluating the quality of quantum operations. The current framework for RB is centered on groups and their representations but this can be problematic.
Jianxin Chen, Dawei Ding, Cupjin Huang
doaj   +1 more source

Quantum‐Noise‐Driven Generative Diffusion Models

open access: yesAdvanced Quantum Technologies, Volume 8, Issue 12, December 2025.
Diffusion Models (DMs) are today a very popular class of generative models for Machine Learning (ML), using a noisy dynamics to learn an unknown density probability of a finite set of samples in order to generate new synthetic data. This study proposes a method to generalize them into the quantum domain by introducing and investigating what are termed ...
Marco Parigi   +2 more
wiley   +1 more source

Linear Quantum State Observers

open access: yesIEEE Transactions on Quantum Engineering, 2022
This article considers the use of linear state observers to infer the unknown state (density matrix) of a closed quantum system using generalized quantum measurement—positive operator-valued measures (POVMs). An efficient test for observability is
Maison Clouatre   +3 more
doaj   +1 more source

Is there contextuality for a single qubit?

open access: yes, 2008
It was presented by Cabello and Nakamura [A. Cabello, Phys. Rev. Lett. 90, 190401 (2003)], that the Kochen-Specker theorem applies to two dimensions if one uses Positive Operator-Valued Measures.
A. Peres   +6 more
core   +1 more source

High-Fidelity, Multiqubit Generalized Measurements with Dynamic Circuits

open access: yesPRX Quantum
Generalized measurements, also called positive operator-valued measures (POVMs), can offer advantages over projective measurements in various quantum information tasks. Here, we realize a generalized measurement of one and two superconducting qubits with
Petr Ivashkov   +4 more
doaj   +1 more source

Quantum Time and Quantum Evolution

open access: yesUniverse, 2023
The problem of quantum time and evolution of quantum systems, where time is not a parameter, is considered. In our model, following some earlier works, time is represented by a quantum operator.
Andrzej Góźdź   +2 more
doaj   +1 more source

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