Theory-independent randomness generation with spacetime symmetries
- URL: http://arxiv.org/abs/2210.14811v2
- Date: Sat, 29 Jul 2023 22:40:33 GMT
- Title: Theory-independent randomness generation with spacetime symmetries
- Authors: Caroline L. Jones, Stefan L. Ludescher, Albert Aloy, Markus P. Mueller
- Abstract summary: We introduce a class of semi-device-independent protocols based on the breaking of spacetime symmetries.
In particular, we characterise how the response of physical systems to spatial rotations constrains the probabilities of events that may be observed.
Our results allow for the generation of secure random numbers without trusting the devices or assuming quantum theory.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce a class of semi-device-independent protocols based on the
breaking of spacetime symmetries. In particular, we characterise how the
response of physical systems to spatial rotations constrains the probabilities
of events that may be observed: in our setup, the set of quantum correlations
arises from rotational symmetry without assuming quantum physics. On a
practical level, our results allow for the generation of secure random numbers
without trusting the devices or assuming quantum theory. On a fundamental
level, we open a theory-agnostic framework for probing the interplay between
probabilities of events (as prevalent in quantum mechanics) and the properties
of spacetime (as prevalent in relativity).
Related papers
- Quantum Randomness through Emergent Confinement Mechanism in Measured Tensor Network States [0.0]
Large-scale random quantum states are crucial for quantum computing and many-body physics.
We present a practical method based on local measurements of random Networks.
We show that confinement is a general mechanism underlying random state generation in broader settings.
arXiv Detail & Related papers (2025-04-23T18:00:02Z) - Exact finite-time correlation functions for multi-terminal setups: Connecting theoretical frameworks for quantum transport and thermodynamics [11.061707876645764]
Transport in open quantum systems can be explored through various theoretical frameworks, including the quantum master equation, scattering matrix, and Heisenberg equation of motion.
Existing literature treats these approaches independently, lacking a unified perspective.
Our work addresses this gap by clarifying the role and status of these approaches using a minimal single-level quantum dot model in a two-terminal setup.
arXiv Detail & Related papers (2023-12-22T21:09:18Z) - Spin-bounded correlations: rotation boxes within and beyond quantum theory [0.0]
We prove that quantum theory admits the most general rotational correlations for spins 0, 1/2, and 1.
We also prove a metrological game where beyond-quantum resources of spin 3/2 outperform all quantum resources of the same spin.
Results illuminate the question of how space constrains the structure of quantum theory.
arXiv Detail & Related papers (2023-12-14T19:00:02Z) - Random-matrix models of monitored quantum circuits [0.0]
We study the competition between Haar-random unitary dynamics and measurements for unstructured systems of qubits.
For projective measurements, we derive various properties of the statistical ensemble of Kraus operators.
We expect that the statistical properties of Kraus operators will serve as a model for the entangling phase of monitored quantum systems.
arXiv Detail & Related papers (2023-12-14T18:46:53Z) - Variational quantum simulation using non-Gaussian continuous-variable
systems [39.58317527488534]
We present a continuous-variable variational quantum eigensolver compatible with state-of-the-art photonic technology.
The framework we introduce allows us to compare discrete and continuous variable systems without introducing a truncation of the Hilbert space.
arXiv Detail & Related papers (2023-10-24T15:20:07Z) - Quantum Causal Inference with Extremely Light Touch [0.0]
We give an explicit quantum causal inference scheme using quantum observations alone.
We derive a closed-form expression for the space-time pseudo-density matrix associated with many times and qubits.
We prove that if there is no signalling between two subsystems, the associated reduced state of the pseudo-density matrix cannot have negativity.
arXiv Detail & Related papers (2023-03-19T02:59:05Z) - Geometric phases along quantum trajectories [58.720142291102135]
We study the distribution function of geometric phases in monitored quantum systems.
For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle.
For the same parameters, the density matrix does not show any interference.
arXiv Detail & Related papers (2023-01-10T22:05:18Z) - Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
Indistinguishability of particles is a fundamental principle of quantum mechanics.
braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions.
We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
arXiv Detail & Related papers (2022-10-19T02:28:44Z) - Quantum Instability [30.674987397533997]
We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system.
An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
arXiv Detail & Related papers (2022-08-05T19:53:46Z) - Geometric Event-Based Relativistic Quantum Mechanics [8.057006406834466]
We propose a special relativistic framework for quantum mechanics.
It is based on introducing a Hilbert space for events.
Our theory satisfies the full Poincare' symmetry as a geometric' unitary transformation.
arXiv Detail & Related papers (2022-06-16T17:58:09Z) - Coherent Fluctuations in Noisy Mesoscopic Systems, the Open Quantum SSEP
and Free Probability [0.0]
We show the dynamics of fluctuations of coherences in Q-SSEP have a natural interpretation as free cumulants.
We show how the link to free probability theory can be used to derive the time evolution of connected fluctuations of coherences.
arXiv Detail & Related papers (2022-04-25T14:19:01Z) - Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
Quantization smears the gravitational singularity avoiding its localization in the configuration space.
Results suggest that the generic singularity of general relativity can be avoided at quantum level.
arXiv Detail & Related papers (2022-04-24T13:32:45Z) - Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics.
The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system.
Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
arXiv Detail & Related papers (2021-03-05T08:32:43Z) - Single photon randomness originating from the symmetry of dipole
emission and the unpredictability of spontaneous emission [55.41644538483948]
Quantum random number generation is a key ingredient for quantum cryptography and fundamental quantum optics.
We experimentally demonstrate quantum random number generation based on the spontaneous emission process.
The scheme can be extended to random number generation by coherent single photons with potential applications in solid-state based quantum communication at room temperature.
arXiv Detail & Related papers (2021-02-18T14:07:20Z) - Observers of quantum systems cannot agree to disagree [55.41644538483948]
We ask whether agreement between observers can serve as a physical principle that must hold for any theory of the world.
We construct examples of (postquantum) no-signaling boxes where observers can agree to disagree.
arXiv Detail & Related papers (2021-02-17T19:00:04Z) - Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders.
All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection.
This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z) - Quantum Measurement of Space-Time Events [0.0]
The phase space of a relativistic system can be identified with the future tube of complexified Minkowski space.
The structures are enough to allow one to put forward a quantum theory of phase-space events.
arXiv Detail & Related papers (2020-11-23T16:53:24Z) - Scattering of mesons in quantum simulators [0.0]
Cold-atom platforms stand as promising candidates to realize quantum simulations of non-perturbative phenomena in gauge theories.
We demonstrate that present-day quantum simulators can imitate linear particle accelerators, giving access to S-matrix measurements of elastic and inelastic meson collisions.
arXiv Detail & Related papers (2020-11-20T19:00:04Z) - Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality.
This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment.
It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
arXiv Detail & Related papers (2020-02-27T15:04:08Z)
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.