Observation of entanglement negativity transition of pseudo-random mixed states

• URL: http://arxiv.org/abs/2208.13347v1
• Date: Mon, 29 Aug 2022 02:56:05 GMT
• Title: Observation of entanglement negativity transition of pseudo-random mixed states
• Authors: Tong Liu, Shang Liu, Hekang Li, Hao Li, Kaixuan Huang, Zhongcheng Xiang, Xiaohui Song, Kai Xu, Dongning Zheng, Heng Fan
• Abstract summary: Multipartite entanglement is a key resource for quantum computation. Here, we report the observation of entanglement transition quantified by negativity using a fully connected 20-qubit superconducting processor. Our simulator provides a powerful tool to generate random states and understand the entanglement structure for multipartite quantum systems.
• Score: 23.43987389179338
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Multipartite entanglement is a key resource for quantum computation. It is expected theoretically that entanglement transition may happen for multipartite random quantum states, however, which is still absent experimentally. Here, we report the observation of entanglement transition quantified by negativity using a fully connected 20-qubit superconducting processor. We implement multi-layer pseudo-random circuits to generate pseudo-random pure states of 7 to 15 qubits. Then, we investigate negativity spectra of reduced density matrices obtained by quantum state tomography for 6 qubits.Three different phases can be identified by calculating logarithmic negativities based on the negativity spectra. We observe the phase transitions by changing the sizes of environment and subsystems. The randomness of our circuits can be also characterized by quantifying the distance between the distribution of output bit-string probabilities and Porter-Thomas distribution. Our simulator provides a powerful tool to generate random states and understand the entanglement structure for multipartite quantum systems.

Related papers

• Observable Measurement-Induced Transitions [0.027042267806481293]
  We report the discovery of another measurement-induced phase transition that can be observed experimentally if quantum dynamics can be reversed. On one side of the transition the quantum information encoded in some part of the Hilbert space is fully recovered after the time inversion. On the other side, all quantum information is corrupted.
  arXiv  Detail & Related papers  (2024-10-12T03:38:22Z)
• Characterizing randomness in parameterized quantum circuits through expressibility and average entanglement [39.58317527488534]
  Quantum Circuits (PQCs) are still not fully understood outside the scope of their principal application. We analyse the generation of random states in PQCs under restrictions on the qubits connectivities. We place a connection between how steep is the increase on the uniformity of the distribution of the generated states and the generation of entanglement.
  arXiv  Detail & Related papers  (2024-05-03T17:32:55Z)
• Simulating electronic structure on bosonic quantum computers [35.884125235274865]
  One of the most promising applications of quantum computing is the simulation of many-fermion problems. We show how an electronic structure Hamiltonian can be transformed into a system of qumodes through qubit-assisted fermion-to-qumode mapping.
  arXiv  Detail & Related papers  (2024-04-16T02:04:11Z)
• Interaction-induced transition in quantum many-body detection probability [0.0]
  We introduce the concept of quantum many-body detection probability (QMBDP), which refers to the probability of detecting a chosen signal at least once in a given time. We show that, on tuning some Hamiltonian parameters, there can be sharp transition from a regime where QMBDP $approx 1$, to a regime, where QMBDP $approx 0$. This is not a measurement-induced transition, but rather a non-equilibrium transition reflecting opening of a specific type of gap in the many-body spectrum.
  arXiv  Detail & Related papers  (2023-06-02T14:55:53Z)
• Importance sampling for stochastic quantum simulations [68.8204255655161]
  We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients. We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage. Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
  arXiv  Detail & Related papers  (2022-12-12T15:06:32Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Noisy induced entanglement transition in one-dimensional random quantum circuits [8.424620634789127]
  We consider a one-dimensional quantum circuit with noisy Haar-random unitary gates. It is shown that the entanglement evolution of the random quantum circuits is properly characterized by the logarithmic entanglement negativity.
  arXiv  Detail & Related papers  (2022-03-15T11:15:11Z)
• Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit [0.0]
  We show that measurements can stabilize quantum entanglement within open quantum systems. Specifically, in random unitary circuits with dephasing at the boundary, we find both numerically and analytically that projective measurements performed at a small nonvanishing rate results in a steady state.
  arXiv  Detail & Related papers  (2022-02-25T19:00:05Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Scattering in the Ising Model Using Quantum Lanczos Algorithm [0.32228025627337864]
  We simulate one-particle propagation and two-particle scattering in the one-dimensional transverse Ising model for 3 and 4 spatial sites on a quantum computer. Results enable us to compute one- and two-particle transition amplitudes, particle numbers for spatial sites, and the transverse magnetization as functions of time.
  arXiv  Detail & Related papers  (2020-08-20T04:05:52Z)
• Boundaries of quantum supremacy via random circuit sampling [69.16452769334367]
  Google's recent quantum supremacy experiment heralded a transition point where quantum computing performed a computational task, random circuit sampling. We examine the constraints of the observed quantum runtime advantage in a larger number of qubits and gates.
  arXiv  Detail & Related papers  (2020-05-05T20:11:53Z)

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.