Temporal Tensors and Quantum Shortcut Dynamics in a Supermaze of Multidimensional Time
- URL: http://arxiv.org/abs/2504.07900v1
- Date: Thu, 10 Apr 2025 16:19:56 GMT
- Title: Temporal Tensors and Quantum Shortcut Dynamics in a Supermaze of Multidimensional Time
- Authors: Koffka Khan,
- Abstract summary: We develop a theoretical framework that unifies concepts of multiple time dimensions, quantum shortcut dynamics, and complex topological structures.<n>We show how this framework can give rise to surprising effects such as anomalous thermodynamic relaxation.
- Score: 0.7614628596146599
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We develop a theoretical framework that unifies concepts of multiple time dimensions, quantum shortcut dynamics, and complex topological structures ('supermazes') to explore novel phenomena in quantum and classical systems. In particular, we introduce a Temporal Tensor Formalism to describe multidimensional time, define Quantum Shortcut Operators that enact near-instantaneous state transitions, and incorporate these into a supermaze topological model inspired by labyrinthine geometry and network complexity. We show how this framework can give rise to surprising effects such as anomalous thermodynamic relaxation (analogous to the Mpemba effect) in quantum systems. Theoretical implications for quantum computing (including quantum cloud networks) are discussed, and connections are drawn to established mathematical paradoxes and physical principles.
Related papers
- Origin of time and probability in quantum cosmology [0.0]
We discuss how the classical notions of time and causal structure may emerge together with quantum-mechanical probabilities from a universal quantum state.<n>Our discussion is based on quantum geometrodynamics, a canonical approach to quantum gravity.
arXiv Detail & Related papers (2025-03-13T18:00:01Z) - Geometric quantum drives: Hyperbolically driven quantum systems and beyond [0.0]
We present a construction of driven quantum systems in which the position of a classical particle is used to steer a quantum Hamiltonian over time.<n>This results in a time-dependent quantum Hamiltonian with a structured temporal profile and properties dependent on the local and global nature of the underlying choice of manifold.<n>We show that fully gapped hyperbolically driven quantum systems in the adiabatic limit are topologically classified by a quantized dynamical response.
arXiv Detail & Related papers (2025-03-11T10:05:10Z) - Quantum influences and event relativity [0.0]
We develop a new interpretation of quantum theory by combining insights from Wigner's friend scenarios and quantum causal modelling.
We articulate these ideas using a precise mathematical formalism.
arXiv Detail & Related papers (2024-01-31T17:08:22Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Variational Quantum Simulation of Chemical Dynamics with Quantum
Computers [23.13347792805101]
We present variational simulations of real-space quantum dynamics suitable for implementation in Noisy Intermediate-Scale Quantum (NISQ) devices.
Motivated by the insights that most chemical dynamics occur in the low energy subspace, we propose a subspace expansion method.
arXiv Detail & Related papers (2021-10-12T16:28:52Z) - From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation.
We describe quantum decays in a 2-level system as coherent and continuous processes.
arXiv Detail & Related papers (2021-07-29T18:27:38Z) - Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems.
We propose an algorithm to implement imaginary time propagation on a quantum computer.
arXiv Detail & Related papers (2021-02-24T12:48:00Z) - Quantum Entropic Causal Inference [30.939150842529052]
We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles.
We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
arXiv Detail & Related papers (2021-02-23T15:51:34Z) - Spacetime Quantum Actions [0.0]
We propose a formulation of quantum mechanics in an extended Fock space in which a tensor product structure is applied to time.
Subspaces of histories consistent with the dynamics of a particular theory are defined by a direct quantum generalization of the corresponding classical action.
The diagonalization of such quantum actions enables us to recover the predictions of conventional quantum mechanics and reveals an extended unitary equivalence between all physical theories.
arXiv Detail & Related papers (2020-10-18T23:14:10Z) - Variational classical networks for dynamics in interacting quantum
matter [0.0]
We introduce a variational class of wavefunctions based on complex networks of classical spins akin to artificial neural networks.
We show that our method can be applied to any quantum many-body system with a well-defined classical limit.
arXiv Detail & Related papers (2020-07-31T14:03:37Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z) - Quantum Hall phase emerging in an array of atoms interacting with
photons [101.18253437732933]
Topological quantum phases underpin many concepts of modern physics.
Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system.
Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
arXiv Detail & Related papers (2020-03-18T14:56:39Z)
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.