The Entanglement Content of Quantum Measurement Bases

• URL: http://arxiv.org/abs/2608.21185v1
• Date: Fri, 21 Aug 2026 14:57:15 GMT
• Title: The Entanglement Content of Quantum Measurement Bases
• Abstract summary: We introduce a hierarchy of classes of measurement bases, distinguished by the local transformations the parties may use for their generation from a single state.<n>This leads to a generalization of the concept of maximally entangleable (or weighted hypergraph) states and the identification of a novel maximally entangled basis of four qubits.<n>We prove that not all forms of entanglement can be encoded in an entire measurement basis.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Bell-state measurements are essential ingredients in many protocols for quantum information processing, ranging from quantum teleportation and dense coding to entanglement distribution in quantum networks. Their power relies on the fact that they are measurements in an entangled basis of a two-particle system and that the used Bell-state basis can be generated from a single Bell state by local unitary transformations. How can these measurements be generalized to more particles? We develop a general framework for this state-to-measurement problem: We introduce a hierarchy of classes of measurement bases, distinguished by the local transformations the parties may use for their generation from a single state. This leads to a generalization of the concept of maximally entangleable (or weighted hypergraph) states and the identification of a novel maximally entangled basis of four qubits, being a candidate for data-hiding tasks or distillation protocols. Finally, we prove that not all forms of entanglement can be encoded in an entire measurement basis.

Related papers

• Permutationally Invariant Quantum State Tomography for Fermions [0.0]
  We develop a tomography protocol for permutation-invariant fermionic many-body states with U(1) particle-number symmetry.<n>We show that any such state is completely determined by the distribution of the total particle number.<n>More generally, the protocol reconstructs the permutation-symmetrized component of arbitrary U(1)-symmetric fermionic states.
  arXiv  Detail & Related papers  (2026-07-26T10:04:25Z)
• Experimental verification of Threshold Quantum State Tomography on a fully-reconfigurable photonic integrated circuit [0.0]
  We show experimentally the application of an approach, called threshold quantum state tomography, in an advanced hybrid photonic platform.<n>This approach does not require a priori knowledge on the state, and selects only the informative projectors starting from the measurement of the density matrix diagonal.<n>We show the effectiveness of this approach in a photonic platform, showing that a consistent reduction in the number of measurement is obtained while reconstructing relevant states for quantum protocols, with only very limited loss of information.
  arXiv  Detail & Related papers  (2025-04-07T13:47:41Z)
• Macroscopic quantum teleportation with ensembles of qubits [10.017471827779337]
  We develop methods for performing quantum teleportation of the total spin variables of an unknown state.<n>We introduce two protocols and show that, on average, the teleportation succeeds in teleporting the spin variables of a spin coherent state.<n>A potential physical implementation for the scheme is with atomic ensembles and quantum nondemolition measurements performed with light.
  arXiv  Detail & Related papers  (2024-11-05T10:12:25Z)
• Absolute dimensionality of quantum ensembles [41.94295877935867]
  The dimension of a quantum state is traditionally seen as the number of superposed distinguishable states in a given basis.<n>We propose an absolute, i.e.basis-independent, notion of dimensionality for ensembles of quantum states.
  arXiv  Detail & Related papers  (2024-09-03T09:54:15Z)
• Classification of joint quantum measurements based on entanglement cost of localization [42.72938925647165]
  We propose a systematic classification of joint measurements based on entanglement cost. We show how to numerically explore higher levels and construct generalizations to higher dimensions and multipartite settings.
  arXiv  Detail & Related papers  (2024-08-01T18:00:01Z)
• Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
  We propose a measurement-device-independent (MDI) test for beyond-quantum state detection. We discuss the importance of tomographic completeness of the input sets to the detection.
  arXiv  Detail & Related papers  (2023-12-11T06:40:13Z)
• A universal scheme to self-test any quantum state and extremal measurement [41.94295877935867]
  quantum network considered in this work is the simple star network, which is implementable using current technologies. For our purposes, we also construct a scheme that can be used to self-test the two-dimensional tomographically complete set of measurements with an arbitrary number of parties.
  arXiv  Detail & Related papers  (2023-12-07T16:20:28Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.<n>This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Entanglement and Teleportation in a 1-D Network with Repeaters [2.624902795082451]
  The flow of information as well as the percolation of entanglement in a network between the source and target node is an important area of study. In this article we investigate how the concurrence of the final entangled state is connected with the concurrences of the initial entangled states present in a 1-D chain. These results have tremendous future applications in sending quantum information between two quantum processors in remote entangled distribution.
  arXiv  Detail & Related papers  (2023-06-02T09:53:56Z)
• Entanglement catalysis for quantum states and noisy channels [41.94295877935867]
  We investigate properties of entanglement and its role for quantum communication. For transformations between bipartite pure states, we prove the existence of a universal catalyst. We further develop methods to estimate the number of singlets which can be established via a noisy quantum channel.
  arXiv  Detail & Related papers  (2022-02-10T18:36:25Z)
• Reconstructing quantum states with quantum reservoir networks [4.724825031148412]
  We introduce a quantum state tomography platform based on the framework of reservoir computing. It forms a quantum neural network, and operates as a comprehensive device for reconstructing an arbitrary quantum state.
  arXiv  Detail & Related papers  (2020-08-14T14:01:55Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.