Quantum Non-Local Nonstabilizerness

• URL: http://arxiv.org/abs/2502.06393v3
• Date: Thu, 13 Mar 2025 07:37:03 GMT
• Title: Quantum Non-Local Nonstabilizerness
• Authors: Dongheng Qian, Jing Wang,
• Abstract summary: Quantum entanglement and quantum nonstabilizerness are fundamental resources that characterize distinct aspects of a quantum state.<n>We propose that quantum non-local nonstabilizerness serves as an effective measure of this combined resource, incorporating both entanglement and nonstabilizerness.<n>Our results represent a pivotal step towards accurately quantifying the "quantumness" of a state and reveal the potential for manipulating this resource through measurements.
• Score: 3.134848671499466
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum entanglement and quantum nonstabilizerness are fundamental resources that characterize distinct aspects of a quantum state: entanglement reflects non-local correlations, while nonstabilizerness quantifies the deviation from stabilizer states. A quantum state becomes a valuable resource for applications like universal quantum computation only when both quantities are present. Here, we propose that quantum non-local nonstabilizerness (NN) serves as an effective measure of this combined resource, incorporating both entanglement and nonstabilizerness. We demonstrate that NN can be precisely computed for two-qubit pure states, where it is directly related to the entanglement spectrum. We then extend the definition of NN to mixed states and explore its presence in many-body quantum systems, revealing that the two-point NN decays according to a power law in critical states. Furthermore, we explore measurement-induced NN and uncover an intriguing phenomenon termed "nonstabilizerness swapping", analogous to entanglement swapping, wherein post-measurement NN decays more slowly than any pre-measurement correlations. Our results thus represent a pivotal step towards accurately quantifying the "quantumness" of a state and reveal the potential for manipulating this resource through measurements.

Related papers

• Long-range nonstabilizerness and phases of matter [0.0]
  Long-range nonstabilizerness can be defined as the amount of nonstabilizerness which cannot be removed by shallow local quantum circuits. We study long-range nonstabilizerness in the context of many-body quantum physics.
  arXiv  Detail & Related papers  (2025-02-26T19:11:47Z)
• Experimental Test of Nonlocality Limits from Relativistic Independence [0.0]
  We show the existence of a fundamental limit on the extent of quantum correlations. Our results shed light on the profound role of uncertainty in both enabling and balancing them.
  arXiv  Detail & Related papers  (2025-01-10T23:29:00Z)
• Detection of mode-intrinsic quantum entanglement [0.0]
  We propose a witness to detect a strong form of entanglement that only non-Gaussian states possess. The strength of our witness is two-fold: it only requires measurements in one basis to check entanglement in any arbitrary mode basis.
  arXiv  Detail & Related papers  (2024-07-25T15:01:47Z)
• Non-stabilizerness in kinetically-constrained Rydberg atom arrays [0.11060425537315084]
  We show that Rydberg atom arrays provide a natural reservoir of non-stabilizerness that extends beyond single qubits. We explain the origin of Rydberg nonstabilizerness via a quantum circuit decomposition of the wave function.
  arXiv  Detail & Related papers  (2024-06-20T14:17:34Z)
• Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
  We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring. We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
  arXiv  Detail & Related papers  (2024-02-29T18:10:05Z)
• Quantum correlations in the steady state of light-emitter ensembles from perturbation theory [0.0]
  In systems of light emitters subject to single-emitter or two-emitter driving, the steady state perturbed away from the U(1) limit exhibits spin squeezing. Our main result is that in systems of light emitters subject to single-emitter or two-emitter driving, the steady state perturbed away from the U(1) limit generically exhibits spin squeezing.
  arXiv  Detail & Related papers  (2024-02-26T18:50:30Z)
• Extracting randomness from quantum 'magic' [4.607344782066309]
  We show that when a subsystem of a quantum state is measured, the resultant projected ensemble of the unmeasured subsystem can exhibit a high degree of randomness. Our findings suggest an efficient approach for leveraging magic as a resource to generate random quantum states.
  arXiv  Detail & Related papers  (2024-02-15T18:33:21Z)
• Squashed quantum non-Markovianity: a measure of genuine quantum non-Markovianity in states [0.6990493129893111]
  We propose a faithful measure for non-Markovianity of genuine quantum origin called squashed quantum non-Markovianity (sQNM) It is based on the quantum conditional mutual information and is defined by the left-over non-Markovianity after squashing out all non-quantum contributions. We show that the sQNM is monogamous, continuous, convex, additive on tensor-product states, and generally super-additive.
  arXiv  Detail & Related papers  (2023-11-30T07:48:32Z)
• Critical behaviors of non-stabilizerness in quantum spin chains [0.0]
  Non-stabilizerness measures the extent to which a quantum state deviates from stabilizer states. In this work, we investigate the behavior of non-stabilizerness around criticality in quantum spin chains.
  arXiv  Detail & Related papers  (2023-09-01T18:00:04Z)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• Scalable measures of magic resource for quantum computers [0.0]
  We introduce efficient measures of magic resource for pure quantum states with a sampling cost independent of the number of qubits. We show the transition of classically simulable stabilizer states into intractable quantum states on the IonQ quantum computer.
  arXiv  Detail & Related papers  (2022-04-21T12:50:47Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• The Min-entropy as a Resource for One-Shot Private State Transfer, Quantum Masking and State Transition [0.0]
  We show that the min-entropy of entanglement of a pure bipartite state is the maximum number of qubits privately transferable. We show that the min-entropy of a quantum state is the half of the size of quantum state it can catalytically dephase.
  arXiv  Detail & Related papers  (2020-10-28T07:30:27Z)
• Operational Resource Theory of Imaginarity [48.7576911714538]
  We show that quantum states are easier to create and manipulate if they only have real elements. As an application, we show that imaginarity plays a crucial role for state discrimination.
  arXiv  Detail & Related papers  (2020-07-29T14:03:38Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)
• Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
  We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
  arXiv  Detail & Related papers  (2020-03-04T14:01:17Z)
• Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
  We introduce jumptime unraveling as a distinct description of open quantum systems. quantum jump trajectories emerge, physically, from continuous quantum measurements. We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
  arXiv  Detail & Related papers  (2020-01-24T09:35:32Z)

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.