A Class of Multipartite Entangled States Based on State Transitions

• URL: http://arxiv.org/abs/2606.05579v1
• Date: Thu, 04 Jun 2026 01:52:44 GMT
• Title: A Class of Multipartite Entangled States Based on State Transitions
• Abstract summary: We introduce Transition states (T states) as a class of multipartite entangled states.<n>These states form equal-amplitude superpositions over all states with a specified transition count.<n>We prove that T states are unitarily equivalent to Dicke states through a chain of CX (controlled-X) operations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: We introduce Transition states (T states), denoted by $\ket{T_k^n}$, as a class of multipartite entangled states characterized by a fixed number of state transitions between adjacent qubits. These states form equal-amplitude superpositions over all states with a specified transition count. Unlike Bell states based on two-qubit correlations, GHZ states characterized by global correlations among all qubits, and W and Dicke states based on fixed numbers of qubit excitations, T states are defined by transition counts along an ordered sequence of qubits. We prove that T states are unitarily equivalent to Dicke states through a chain of CX (controlled-X) operations, thereby establishing a direct correspondence between transition-based and excitation-based representations of multipartite entanglement.

Related papers

• Entanglement Pattern Transition of Quantum States from Directed Percolation [0.007496778384043148]
  Changes in the entanglement structure and critical phenomena are hallmarks of quantum phase transitions.<n>We show how they appear in transitions between classes of states with distinct entanglement patterns beyond the paradigm of stable equilibrium phases of matter.<n>Our results demonstrate how the correspondence between isoTNS and classical evolution can be used to probe the space structure beyond stable ground state.
  arXiv  Detail & Related papers  (2026-05-25T18:00:04Z)
• Absolutely maximally entangled pure states of multipartite quantum systems [0.0]
  Absolutely maximally entangled (AME) pure states of a system composed of $N$ parties are distinguished by the property that for any splitting at least one partial trace is maximally mixed.<n>Due to maximal possible correlations between any two selected subsystems these states have numerous applications in various fields of quantum information processing.
  arXiv  Detail & Related papers  (2025-08-06T18:00:13Z)
• Variational Transformer Ansatz for the Density Operator of Steady States in Dissipative Quantum Many-Body Systems [44.598178952679575]
  We propose the textittransformer density operator ansatz for determining the steady states of dissipative quantum many-body systems.<n>By vectorizing the density operator as a many-body state in a doubled Hilbert space, the transformer encodes the amplitude and phase of the state's coefficients.<n>We demonstrate the effectiveness of our approach by numerically calculating the steady states of dissipative Ising and Heisenberg spin chain models.
  arXiv  Detail & Related papers  (2025-02-28T05:12:43Z)
• Perfect, Pretty Good and Optimized Quantum State Transfer in Transmon qubit chains [44.99833362998488]
  We study how changing the interaction strength between the chain qubits allows us to obtain perfect or pretty good state transfer.<n>For particular values of the interactions between the qubits, transmon chains are equivalent to generalized SSH chains.<n>We show that, in many cases, asking for fast transfer times results in chains with dimerized interactions that do not have topological states.
  arXiv  Detail & Related papers  (2025-01-17T22:16:41Z)
• A characterization of entangled two-qubit states via partial-transpose-moments [9.10336121964146]
  Authors study the partial-transpose(PT)-moments of two-qubit states. They extend their results to detect the entanglement of multiqubit states.
  arXiv  Detail & Related papers  (2024-04-30T07:28:09Z)
• Asymmetry activation and its relation to coherence under permutation operation [53.64687146666141]
  A Dicke state and its decohered state are invariant for permutation. When another qubits state to each of them is attached, the whole state is not invariant for permutation, and has a certain asymmetry for permutation.
  arXiv  Detail & Related papers  (2023-11-17T03:33:40Z)
• Multipartite entanglement theory with entanglement-nonincreasing operations [55.2480439325792]
  We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication.<n>We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
  arXiv  Detail & Related papers  (2023-05-30T12:53:56Z)
• Catalytic and asymptotic equivalence for quantum entanglement [44.99833362998488]
  Many-copy entanglement manipulation procedures allow for highly entangled pure states from noisy states.<n>We show that using an entangled catalyst cannot enhance the singlet distillation rate of a distillable quantum state.<n>Our findings provide a comprehensive understanding of the capabilities and limitations of both catalytic and state transformations of entangled states.
  arXiv  Detail & Related papers  (2023-05-05T12:57:59Z)
• Interplay between transport and quantum coherences in free fermionic systems [58.720142291102135]
  We study the quench dynamics in free fermionic systems. In particular, we identify a function, that we dub emphtransition map, which takes the value of the stationary current as input and gives the value of correlation as output.
  arXiv  Detail & Related papers  (2021-03-24T17:47:53Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)
• Coherent state superpositions, entanglement and gauge/gravity correspondence [3.4222920854856014]
  We focus on two types of coherent states, the coherent states of multi graviton states and the coherent states of giant graviton states. We analyze the correlation and entanglement between gravitational degrees of freedom using different regions of the phase space plane in bubbling AdS.
  arXiv  Detail & Related papers  (2020-11-27T18:59:15Z)
• Local Transformations of Multiple Multipartite States [0.34362363862897544]
  We study the study of transformations of states via Local Operations assisted by Classical Communication (LOCC) We show that by transferring entanglement from one state to the other, one can perform state conversions not possible in the single copy case. In the bipartite case, we identify numerous non-trivial transformations and show that the source entanglement is not additive.
  arXiv  Detail & Related papers  (2020-07-13T09:18:29Z)

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.