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Everything about POVM
Generalized measurement in quantum mechanics
In functional analysis and quantum information science, a positive operator-valued measure (POVM) is a measure whose values are positive semi-definite operators on a Hilbert space. POVMs are a generalization of projection-valued measures (PVM) and, correspondingly, quantum measurements described by POVMs are a generalization of quantum measurement described by PVMs. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: POVMA 5-minute orientation
- Skim a recent paper: Time-dependent POVM reconstruction for single-photon avalanche photo diodes using adaptive regularizationInfluential work since 2022
- Read the landmark paper: From stabilizer states to SIC-POVM fiducial statesCited 26 times
- Go sideways: SIC-POVMA closely related topic
- Go sideways: Trace distanceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
From stabilizer states to SIC-POVM fiducial states
The Number Behind the Simplest SIC–POVM
Quantum Sharing an Unknown Multi-Particle State via POVM
Realization of Kraus operators and POVM measurements using a duality quantum computer
Positive-Operator Valued Measure (POVM) Quantization
On the Relationships Between the Moments of a POVM and the Generator of the von Neumann Algebra It Generates
Classical communication cost and probabilistic remote two-qubit state preparation via POVM and W-type states
Two-qubit entangled state teleportation via optimal POVM and partially entangled GHZ state
🆕 Influential since 2022
Time-dependent POVM reconstruction for single-photon avalanche photo diodes using adaptive regularization
Quantum formalism on the plane: POVM-Toeplitz quantization, Naimark theorem and linear polarization of the light
The POVM Theorem in Bohmian Mechanics
Relational unsharp properties: A POVM-based ontology for relational quantum mechanics
Geometric properties of SIC-POVM tensor square
📚 Books worth reading
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🔗 Related topics
- SIC-POVM In the context of quantum mechanics and quantum information theory, symmetric, informationally complete, positive operator-valued measures (SIC-POVMs)…
- Trace distance In quantum mechanics, and especially quantum information and the study of open quantum systems, the trace distance is a metric on the space of density…
- Projection-valued measure In mathematics, particularly in functional analysis, a projection-valued measure, or spectral measure, is a function defined on certain subsets of a fixed…
- Born rule The Born rule is a postulate of quantum mechanics that gives the probability that a measurement of a quantum system will yield a given result. In one commonly…
- Fidelity of quantum states In quantum mechanics, notably in quantum information theory, fidelity quantifies the "closeness" between two density matrices. It expresses the probability…
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- Quantum operation In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad…
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