Enhanced quantum state swapping via environmental memory

APL Quantum 2, 016126 (2025) · DOI: 10.1063/5.0253875

Paper license: CC BY-NC 4.0. Data: Hosted with the authors' permission; no licence granted. Ask the authors before reuse beyond citation.

Abstract

Environmental noise is a prevalent issue that hinders the widespread adoption of quantum technologies. Standard practice to mitigate noise involves minimizing the coupling between a quantum system and its environment, which is usually modeled in the Markovian regime. By moving slightly beyond this regime into the weak non-Markovian regime, we can achieve an effective coupling that is multiple orders of magnitude smaller by exploiting the environmental memory effect. To demonstrate this effect, we simulate state swapping in a Markovian and non-Markovian environment between two modes: a cavity mode initialized as a vacuum state and an atomic motional mode initialized as a displaced squeezed coherent state. To measure the quality of state swapping between environments, we calculate and compare their corresponding multi-mode fidelity for Gaussian states. We find that a non-Markovian environment has superior state swapping fidelity across the following parameters: mean phonon number, cavity decay rate, and vibrational frequency of the atomic motional mode. The fidelity is near-unit for a non-Markovian environment within the parameter ranges mentioned in the results. These results could enable enhanced quantum information exchange between a network and chain of cavity-atom nodes and contribute toward a more prevalent adoption of quantum technologies.

Figures

19 panels with data across 7 figures. Each panel page shows the plot, its columns and its files; each data.csv begins with a header naming the paper, the panel, the source, the license and the provenance route.

Fig. 1

• panel (a): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and mean phonon number $N$, for squeezing $r = -1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The left of the three printed panels. data.csv
• panel (b): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and mean phonon number $N$, for squeezing $r = 0$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The middle of the three printed panels. data.csv
• panel (c): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and mean phonon number $N$, for squeezing $r = 1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The right of the three printed panels. data.csv

Fig. 2

• panel (a): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a Markovian environment against $\theta$ and mean phonon number $N$, for squeezing $r = -1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The left of the three printed panels. data.csv
• panel (b): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a Markovian environment against $\theta$ and mean phonon number $N$, for squeezing $r = 0$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The middle of the three printed panels. data.csv
• panel (c): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a Markovian environment against $\theta$ and mean phonon number $N$, for squeezing $r = 1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The right of the three printed panels. data.csv

Fig. 3

• panel (a): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and central frequency $\Omega$, for squeezing $r = -1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The left of the three printed panels. The panel title reads non-Markovian; the caption says Markovian. data.csv
• panel (b): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and central frequency $\Omega$, for squeezing $r = 0$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The middle of the three printed panels. The panel title reads non-Markovian; the caption says Markovian. data.csv
• panel (c): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and central frequency $\Omega$, for squeezing $r = 1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The right of the three printed panels. The panel title reads non-Markovian; the caption says Markovian. data.csv

Fig. 4

• panel (a): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and cavity decay rate $\kappa$, for squeezing $r = -1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The left of the three printed panels. data.csv
• panel (b): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and cavity decay rate $\kappa$, for squeezing $r = 0$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The middle of the three printed panels. data.csv
• panel (c): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and cavity decay rate $\kappa$, for squeezing $r = 1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The right of the three printed panels. data.csv

Fig. 5

• panel (a): $\mathcal{F}_{\max}$ against $\kappa$ for Markovian (dashed lines, left axis) and non-Markovian (solid lines, right axis) environments, each for $r = -1$, 0 and 1: the cross sections of Fig. 4 at $\theta = \theta_{\max}$. Here $\kappa$ is in plain units; the printed axis reads $\kappa \times 10^{-3}$. data.csv

Fig. 6

• panel (a): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and vibrational frequency $\nu$, for squeezing $r = -1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The left of the three printed panels. data.csv
• panel (b): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and vibrational frequency $\nu$, for squeezing $r = 0$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The middle of the three printed panels. data.csv
• panel (c): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a non-Markovian environment against $\theta$ and vibrational frequency $\nu$, for squeezing $r = 1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The right of the three printed panels. data.csv

Fig. 7

• panel (a): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a Markovian environment against $\theta$ and vibrational frequency $\nu$, for squeezing $r = -1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The left of the three printed panels. data.csv
• panel (b): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a Markovian environment against $\theta$ and vibrational frequency $\nu$, for squeezing $r = 0$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The middle of the three printed panels. data.csv
• panel (c): Heatmap of the state-swapping fidelity $\mathcal{F}$ in a Markovian environment against $\theta$ and vibrational frequency $\nu$, for squeezing $r = 1$, from an atomic motional mode in the coherent state $|\sqrt{N}e^{i\pi\theta};r\rangle$ to a cavity mode in the vacuum state. The right of the three printed panels. data.csv

Cite

K. Mui, A. Couvertier, T. Yu. Enhanced quantum state swapping via environmental memory. APL Quantum 2, 016126 (2025). https://doi.org/10.1063/5.0253875

When you use hosted data, cite the original paper and give the panel's URL so a reader can find the exact values you used.

All papers · About · Statistics · Submit data · API