Three-party pure quantum states are determined by two two-party reduced states
arXiv:quant-ph/0403200 · doi:10.1103/PhysRevA.70.010302
Abstract
We can uniquely calculate almost all entangled state vectors of tripartite systems ABC if we know the reduced states of any two bipartite subsystems, e.g., of AB and of BC. We construct the explicit solution.
2pp
Cited by in corpus (30)
- Quantum state tomography via reduced density matrices
- Local-measurement-based quantum state tomography via neural networks
- Uniqueness of Quantum States Compatible with Given Measurement Results
- Hamiltonian-Driven Shadow Tomography of Quantum States
- Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor
- Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices
- N-Qubit W States are Determined by their Bipartite Marginals
- Reconstructing quantum states from single-party information
- Experimental construction of a W-superposition state and its equivalence to the GHZ state under local filtration
- Compatibility of subsystem states
- Almost all four-particle pure states are determined by their two-body marginals
- Comment on some results of Erdahl and the convex structure of reduced density matrices
- Characterizing ground and thermal states of few-body Hamiltonians
- Determining system Hamiltonian from eigenstate measurements without correlation functions
- Proving genuine multiparticle entanglement from separable nearest-neighbor marginals
- Entanglement transitivity problems
- Uniquely determined pure quantum states need not be unique ground states of quasi-local Hamiltonians
- Optimal reducibility of all Stochastic Local Operation and Classical Communication equivalent W states
- Reducible Correlations in Dicke States
- Constraints on correlations in multiqubit systems
- Tomographic Characterization of Three-Qubit Pure States with Only Two-Qubit Detectors
- Pairwise quantum discord for a symmetric multi-qubit system in different types of noisy channels
- Determination of stabilizer states
- Investigating Pure State Uniqueness in Tomography via Optimization
- Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint
- The additivity of states uniquely determined by marginals
- Geometry of two-body correlations in three-qubit states
- Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
- Undetermined states: how to find them and their applications
- Locally undetermined states, generalized Schmidt decomposition, and an application in distributed computing