Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
arXiv:2008.03647 · doi:10.1103/PhysRevD.103.065007
Abstract
An upper limit to distillable entanglement between two disconnected regions of massless non-interacting scalar field theory has an exponential decay defined by a geometric decay constant. When regulated at short distances with a spatial lattice, this entanglement abruptly vanishes beyond a dimensionless separation, defining a negativity sphere. In two spatial dimensions, we determine this geometric decay constant between a pair of disks and the growth of the negativity sphere toward the continuum through a series of lattice calculations. Making the connection to quantum field theories in three-spatial dimensions, assuming such quantum information scales appear also in quantum chromodynamics (QCD), a new relative scale may be present in effective field theories describing the low-energy dynamics of nucleons and nuclei. We highlight potential impacts of the distillable entanglement structure on effective field theories, lattice QCD calculations and future quantum simulations.
arXiv comment9 pages, 3 figures
References in corpus (74)
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Separability of Mixed States: Necessary and Sufficient Conditions
- Three qubits can be entangled in two inequivalent ways
- The density-matrix renormalization group
- Distributed Entanglement
- Efficient classical simulation of slightly entangled quantum computations
- Peres-Horodecki separability criterion for continuous variable systems
- Aspects of Holographic Entanglement Entropy
- Entropy and Area
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Finite-Time Disentanglement via Spontaneous Emission
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Sudden Death of Entanglement
- A New Expansion for Nucleon-Nucleon Interactions
- Extremal entanglement and mixedness in continuous variable systems
- Notes on Some Entanglement Properties of Quantum Field Theory
- Quantum Algorithms for Quantum Field Theories
- Entanglement negativity in quantum field theory
- Entanglement Properties of the Harmonic Chain
- Entanglement entropy of two disjoint intervals in conformal field theory
- The 1/N Expansion for Baryons
- Entanglement from the vacuum
- Extremality of Gaussian quantum states
- Violating Bell's inequalities in the vacuum
- Towards a Perturbative Theory of Nuclear Forces
- Entanglement negativity in extended systems: A field theoretical approach
- Lattice simulations for few- and many-body systems
- Spin-Flavor Structure of Large N Baryons
- Disentanglement and Decoherence by Open System Dynamics
- Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
- Entangling Power of an Expanding Universe
- Harvesting correlations from the quantum vacuum
- Deep inelastic scattering as a probe of entanglement
- Acceleration-assisted entanglement harvesting and rangefinding
- Entangled three-qubit states without concurrence and three-tangle
- Power counting with one-pion exchange
- Digitization of Scalar Fields for Quantum Computing
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Spacetime structure and vacuum entanglement
- Entanglement entropy for the n-sphere
- Entanglement Suppression and Emergent Symmetries of Strong Interactions
- The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
- The Nucleon-Nucleon Potential in the 1/N_c Expansion
- The EPR paradox and quantum entanglement at sub-nucleonic scales
- Critical and noncritical long range entanglement in the Klein-Gordon field
- Cosmological quantum entanglement
- BQP-completeness of Scattering in Scalar Quantum Field Theory
- Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
- Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
- Thermal radiation and entanglement in proton-proton collisions at the LHC
- Nuclear Matter on a Lattice
- Dynamics of entanglement in expanding quantum fields
- Thermal excitation spectrum from entanglement in an expanding quantum string
- Restoration of Rotational Symmetry in the Continuum Limit of Lattice Field Theories
- Scalar Quantum Field Theories as a Benchmark for Near-Term Quantum Computers
- The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
- Quantum Temporal Superposition: the case of QFT
- Entanglement entropy and entropy production in the Color Glass Condensate framework
- On entanglement hamiltonians of an interval in massless harmonic chains
- Entanglement Harvesting with Moving Mirrors
- A contour for the entanglement entropies in harmonic lattices
- Numerical determination of entanglement entropy for a sphere
- Entanglement entropy, entropy production and time evolution in high energy QCD
- Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories
- On the convergence of nuclear effective field theory with perturbative pions
- Entanglement structures in qubit systems
- Entanglement between Collective Operators in a Linear Harmonic Chain
- Chiral symmetry breaking, entanglement, and the nucleon spin decomposition
- Entanglement and Fast Quantum Thermalization in Heavy Ion Collisions
- Entanglement and thermalization
- Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics
- The computational power of matchgates and the XY interaction on arbitrary graphs
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- Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
- Quantum Simulating Nature's Fundamental Fields
- Entanglement minimization in hadronic scattering with pions
- Geometry and entanglement in the scattering matrix
- Entanglement negativity between separated regions in quantum critical systems
- Entanglement Spheres and a UV-IR connection in Effective Field Theories
- Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
- Nuclear Structure at the Crossroads
- Randomized measurement protocols for lattice gauge theories
- Entanglement Structures in Quantum Field Theories II: Distortions of Vacuum Correlations Through the Lens of Local Observers
- The Fate of Entanglement
- Parallelization techniques for quantum simulation of fermionic systems
- Partial-transpose-guided entanglement classes and minimum noise filtering in many-body Gaussian quantum systems
- Identification of a natural fieldlike entanglement resource in trapped-ion chains
- Detecting spacelike vacuum entanglement at all distances and promoting negativity to a necessary and sufficient entanglement measure in many-body regimes
- Finite Gaussian assistance protocols and a conic metric for extremizing spacelike vacuum entanglement
- A contour for the entanglement negativity of bosonic Gaussian states