Nonlocal growth of quantum conditional mutual information under decoherence

• URL: http://arxiv.org/abs/2402.03439v3
• Date: Tue, 08 Oct 2024 08:07:15 GMT
• Title: Nonlocal growth of quantum conditional mutual information under decoherence
• Authors: Yifan Zhang, Sarang Gopalakrishnan,
• Abstract summary: Local measurements cannot create entanglement, but they can convert short-range entanglement to long-range entanglement. We situate measurement-induced entanglement (MIE) in a broader context of the growth of long-range conditional mutual information (CMI) under decoherence.
• Score: 5.062448779099901
• License:
• Abstract: Local measurements cannot create entanglement, but they can convert short-range entanglement to long-range entanglement, as in quantum teleportation. This phenomenon of measurement-induced entanglement (MIE) has been widely discussed in recent work on measurement-induced entanglement phase transitions and related phenomena. Here, we situate MIE in a broader context of the growth of long-range conditional mutual information (CMI) under decoherence. We upper-bound the rate at which decoherence can generate long-range CMI, and derive a characterization of states that saturate this bound. We point out that the structure of states saturating the CMI upper bound can be very different under different decoherent dynamics and provide explicit examples. We additionally explore the dynamics of CMI in random quantum circuits subject to random local decoherence, as a function of circuit depth. We argue that the universality class of the finite-depth teleportation transition, as well as its lower critical dimension, are different for erasures than for measurements.

Related papers

• Long-range multipartite entanglement near measurement-induced transitions [0.0]
  We investigate the multipartite entanglement structure that emerges in quantum circuits involving unitaries and measurements. We show how a balance between measurements and unitary evolution can lead to multipartite entanglement spreading to distances far greater than what is found in non-monitored systems.
  arXiv  Detail & Related papers  (2024-04-24T18:00:01Z)
• Universal structure of measurement-induced information in many-body ground states [1.0621665950143144]
  We study measures of measurement-induced entanglement (MIE) and information (MII) for the ground-states of quantum many-body systems. We argue that, whereas in $1d$ the leading contributions to long-range MIE and MII are universal, in $2d$, the existence of a teleportation transition implies that trivial $2d$ states can exhibit long-range MIE.
  arXiv  Detail & Related papers  (2023-12-18T19:00:01Z)
• Quantum conditional mutual information of W state in non-inertial frames [2.732919960807485]
  We characterise the QCMI of tripartite W-states when some qubits are under accelerated motion. We observe that QCMI can either increase or decrease depending on the role of the qubit being accelerated. We discuss the connection between QCMI and correlations by studying the biseparable and separable states.
  arXiv  Detail & Related papers  (2023-11-23T13:59:35Z)
• 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)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
  We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
  arXiv  Detail & Related papers  (2021-04-21T10:36:57Z)
• Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases [55.41644538483948]
  Weak measurements in particular, through their back-action on the system, may enable various levels of coherent control. We measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. Our results open new horizons for measurement-enabled quantum control of many-body topological states.
  arXiv  Detail & Related papers  (2021-02-10T19:00:00Z)
• Measurement-induced dynamics of many-body systems at quantum criticality [0.0]
  We study the interplay between unitary Hamiltonian driving and random local projective measurements. The power law of the decay of quantum correlations turns out to be enhanced at the quantum transition.
  arXiv  Detail & Related papers  (2020-01-30T18:51:01Z)

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.