Quantum Information Approach to Bosonization of Supersymmetric Yang-Mills Fields

• URL: http://arxiv.org/abs/2602.20149v1
• Date: Mon, 23 Feb 2026 18:57:21 GMT
• Title: Quantum Information Approach to Bosonization of Supersymmetric Yang-Mills Fields
• Authors: Radhakrishnan Balu, S. James Gates,
• Abstract summary: We consider bosonization of supersymmetry in the context of Wess-Zumino quantum mechanics.<n>We construct a minimal bosonization of a system with one bosonic and two fermionic degrees of freedom.<n>To build an irreducible representation of the system we induce representations across the sectors.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider bosonization of supersymmetry in the context of Wess-Zumino quantum mechanics. Our motivation for this investigation is the flexibility the bosonic fock space affords as any classical probability distribution can be realized on it making it a versatile framework to work with for quantum processes. We proceed by constructing a minimal bosonization of a system with one bosonic and two fermionic degrees of freedom. We iterate this process to construct a tower of SUSY systems that is akin to unfolded Adinkras. We then identify an osp(2|2) symmetry of the system constructed. To build an irreducible representation of the system we induce representations across the sectors, a first to our knowledge, as the previous work have focused on induction only within the bosonic sector. First, we start with a fermionic representation using Clifford algebras and then induce a representation to gl(2|2) and restrict it to osp(2|2). In the second method, we induce a representation from that of the bosonic sector. In both cases, our representations are in terms of qubit operators that provide a way to solve SUSY problems using quantum information based approaches. Depending upon the direction of induction the representations are suitable for implementation on a hybrid qubit and fermionic or bosonic quantum computers.

Related papers

• A pseudo-random and non-point Nelson-style process [49.1574468325115]
  We take up the idea of Nelson's processes, the aim of which was to deduce Schr"odinger's equation.<n>We consider deterministic processes which are pseudo-random but which have the same characteristics as Nelson's processes.
  arXiv  Detail & Related papers  (2025-04-29T16:18:51Z)
• Hybrid Quantum-Classical Clustering for Preparing a Prior Distribution of Eigenspectrum [10.950807972899575]
  We consider preparing the prior distribution and circuits for the eigenspectrum of time-independent Hamiltonians. The proposed algorithm unfolds in three strategic steps: Hamiltonian transformation, parameter representation, and classical clustering. The algorithm is showcased through applications to the 1D Heisenberg system and the LiH molecular system.
  arXiv  Detail & Related papers  (2024-06-29T14:21:55Z)
• Information Scrambling in Free Fermion Systems with a Sole Interaction [7.11602492803827]
  We construct Brownian circuits and Clifford circuits consisting of a free fermion hopping term and a sole interaction. In both circuits, our findings reveal the emergence of operator scrambling. We demonstrate that in the one-dimensional system, both the operator and entanglement exhibit diffusive scaling.
  arXiv  Detail & Related papers  (2023-10-10T22:11:38Z)
• On the unraveling of open quantum dynamics [0.0]
  We show that the dynamics of an open quantum system generically admits an unraveling in the Hilbert space of the system. We derive the state-of-the-art form of the Di'osi-Gisin-Strunz random ostensible state equation in the context of a model problem.
  arXiv  Detail & Related papers  (2023-09-23T15:42:33Z)
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective [39.58317527488534]
  We develop a framework to characterize the separability of a specific type of one-dimensional quasiparticle known as a fermionic anyon. We map this notion of fermionic-anyon separability to the free resources of matchgate circuits. We also identify how entanglement between two qubits encoded in a dual-rail manner, as standard for matchgate circuits, corresponds to the notion of entanglement between fermionic anyons.
  arXiv  Detail & Related papers  (2023-06-01T15:25:19Z)
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
  We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
  arXiv  Detail & Related papers  (2023-02-27T18:56:40Z)
• 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)
• Efficient MPS methods for extracting spectral information on rings and cylinders [0.0]
  We introduce an ansatz for capturing excited states in finite systems with open boundary conditions. We show that momentum emerges as a good quantum number, and can be exploited for labeling excitations on top of MPS ground states. Finally, we apply the same idea to compute excitation spectra for 2-D quantum systems on infinite cylinders.
  arXiv  Detail & Related papers  (2021-02-22T13:35:09Z)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• Quantum manipulation of a two-level mechanical system [19.444636864515726]
  We consider a nonlinearly coupled electromechanical system, and develop a quantitative theory for two-phonon cooling. In the presence of two-phonon cooling, the mechanical Hilbert space is effectively reduced to its ground and first excited states. We propose a scheme for performing arbitrary Bloch sphere rotations, and derive the fidelity in the specific case of a $pi$-pulse.
  arXiv  Detail & Related papers  (2021-01-05T19:34:44Z)
• A new approach to the construction of Schur-Weyl states [0.0]
  The Schur-Weyl states belong to a special class of states with a symmetry described by two Young and Weyl tableaux. We present a new method of Schur-Weyl states construction in a spin chain system representation.
  arXiv  Detail & Related papers  (2020-04-30T14:10:14Z)
• Solving quantum trajectories for systems with linear Heisenberg-picture dynamics and Gaussian measurement noise [0.0]
  We study solutions to the quantum trajectory evolution of $N$-mode open quantum systems possessing a time-independent Hamiltonian, linear Heisenbergpicture dynamics, and measurement noise. To illustrate our results, we solve some single-mode example systems, with the POVMs being of practical relevance to the inference of an initial state.
  arXiv  Detail & Related papers  (2020-04-06T03:05:22Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.