Realistic protocol to measure entanglement at finite temperatures
arXiv:2210.10713 · doi:10.1103/PhysRevLett.130.136201
Abstract
It is desirable to relate entanglement of many-body systems to measurable observables. In systems with a conserved charge, it was recently shown that the number entanglement entropy (NEE) - i.e. the entropy change due to an unselective subsystem charge measurement - is an entanglement monotone. Here we derive finite-temperature equilibrium relations between Renyi moments of the NEE, and multi-point charge correlations. These relations are exemplified in quantum dot systems where the desired charge correlations can be measured via a nearby quantum point contact. In quantum dots recently realizing the multi-channel Kondo effect we show that the NEE has a nontrivial universal temperature dependence which is now accessible using the proposed methods.
6 pages, 1 figure, 8 pages of Supplementary material
References in corpus (24)
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Observation of the two-channel Kondo effect
- Quantum Noise as an Entanglement Meter
- Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
- Mixed-state entanglement from local randomized measurements
- Correlated Charge Noise and Relaxation Errors in Superconducting Qubits
- Measuring entanglement entropy of a generic many-body system with a quantum switch
- Symmetry-resolved entanglement detection using partial transpose moments
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
- Identification of symmetry-protected topological states on noisy quantum computers
- Counting statistics and super-Poissonian noise in a quantum dot
- Single-copies estimation of entanglement negativity
- Symmetry-resolved dynamical purification in synthetic quantum matter
- Quantum phase transition in a two-channel-Kondo quantum dot device
- Towards measuring Entanglement Entropies in Many Body Systems
- Entanglement barrier and its symmetry resolution: theory and experiment
- Universal low-temperature crossover in two-channel Kondo models
- Symmetric inseparability and number entanglement in charge conserving mixed states
- Macroscopic Quantum Entanglement of a Kondo Cloud at Finite Temperature
- Direct tomography of high-dimensional density matrices for general quantum states of photons
- Universal Thermal Entanglement of Multichannel Kondo Effects
- An Alternative Method for Extracting the von Neumann Entropy from Renyi Entropies
- Full Counting Statistics of Spin-Flip/Conserving Charge Transitions in Pauli-Spin Blockade
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