Coherence dynamics induced by attenuation and amplification Gaussian channels

• URL: http://arxiv.org/abs/2010.15299v1
• Date: Thu, 29 Oct 2020 01:21:03 GMT
• Title: Coherence dynamics induced by attenuation and amplification Gaussian channels
• Authors: Jonas F. G. Santos and C. H. S. Vieira
• Abstract summary: We study the coherence dynamics introduced by these channels on input states. We write a simple expression for computing the entropy production due to the coherence for both channels. This can be useful to simulate many processes in quantum thermodynamics, as finite-time driving on bosonic modes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum Gaussian channels play a key role in quantum information theory. In particular, the attenuation and amplification channels are useful to describe noise and decoherence effects on continuous variables systems. They are directly associated to the beam splitter and two-mode squeezing operations, which have operational relevance in quantum protocols with bosonic models. An important property of these channels is that they are Gaussian completely positive maps and the action on a general input state depends on the parameters characterizing the channels. In this work, we study the coherence dynamics introduced by these channels on input Gaussian states. We derive explicit expressions for the coherence depending on the parameters describing the channels. By assuming a displaced thermal state with initial coherence as input state, for the attenuation case it is observed a revival of the coherence as a function of the transmissivity coefficient, whereas for the amplification channel the coherence reaches asymptotic values depending on the gain coefficient. Further, we obtain the entropy production for these class of operations, showing that it can be reduced by controlling the parameters involved. We write a simple expression for computing the entropy production due to the coherence for both channels. This can be useful to simulate many processes in quantum thermodynamics, as finite-time driving on bosonic modes.

Related papers

• Improving parameters estimation in Gaussian channels using quantum coherence [0.0]
  We consider the inverse problem, i.e., the estimation of channel parameters employing probes in which quantum coherence is used as a resource. The rate of change of coherence concerning the channel parameter, rather than the amount of coherence, can produce a parameter estimation gain.
  arXiv  Detail & Related papers  (2024-09-15T09:50:23Z)
• Channel nonlocality under decoherence [0.0]
  We quantify nonlocality of bipartite quantum channels and identify its component resisting the effects of dephasing noise. We show that simulating certain processes with quantum channels undergoing decoherence has a communication advantage with respect to their classical simulation.
  arXiv  Detail & Related papers  (2024-08-19T18:00:05Z)
• A noise-limiting quantum algorithm using mid-circuit measurements for dynamical correlations at infinite temperature [0.0]
  We introduce a quantum channel built out of mid-circuit measurements and feed-forward. In the presence of a depolarizing channel it still displays a meaningful, non-zero signal in the large depth limit. We showcase the noise resilience of this quantum channel on Quantinuum's H1-1 ion-trap quantum computer.
  arXiv  Detail & Related papers  (2024-01-04T11:25:04Z)
• Classical capacity of quantum non-Gaussian attenuator and amplifier channels [0.8409980020848168]
  We consider a quantum bosonic channel that couples the input mode via a beam splitter or two-mode squeezer to an environmental mode prepared in an arbitrary state. We investigate the classical capacity of this channel, which we call a non-Gaussian attenuator or amplifier channel.
  arXiv  Detail & Related papers  (2023-12-25T06:05:51Z)
• Emergence of noise-induced barren plateaus in arbitrary layered noise models [44.99833362998488]
  In variational quantum algorithms the parameters of a parameterized quantum circuit are optimized in order to minimize a cost function that encodes the solution of the problem. We discuss how, and in which sense, the phenomenon of noise-induced barren plateaus emerges in parameterized quantum circuits with a layered noise model.
  arXiv  Detail & Related papers  (2023-10-12T15:18:27Z)
• On Simultaneous Information and Energy Transmission through Quantum Channels [15.387256204743407]
  We introduce the quantum-classical analogue of the capacity-power function. We generalize results in classical information theory for transmitting classical information through noisy channels.
  arXiv  Detail & Related papers  (2023-09-24T16:46:47Z)
• Variational waveguide QED simulators [58.720142291102135]
  Waveguide QED simulators are made by quantum emitters interacting with one-dimensional photonic band-gap materials. Here, we demonstrate how these interactions can be a resource to develop more efficient variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-02-03T18:55:08Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Accurate methods for the analysis of strong-drive effects in parametric gates [94.70553167084388]
  We show how to efficiently extract gate parameters using exact numerics and a perturbative analytical approach. We identify optimal regimes of operation for different types of gates including $i$SWAP, controlled-Z, and CNOT.
  arXiv  Detail & Related papers  (2021-07-06T02:02:54Z)
• Composably secure data processing for Gaussian-modulated continuous variable quantum key distribution [58.720142291102135]
  Continuous-variable quantum key distribution (QKD) employs the quadratures of a bosonic mode to establish a secret key between two remote parties. We consider a protocol with homodyne detection in the general setting of composable finite-size security. In particular, we analyze the high signal-to-noise regime which requires the use of high-rate (non-binary) low-density parity check codes.
  arXiv  Detail & Related papers  (2021-03-30T18:02:55Z)
• Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit [62.997667081978825]
  We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of the Gottesman-Kitaev-Preskill (GKP) code. We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction.
  arXiv  Detail & Related papers  (2020-02-18T16:45:09Z)

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.