Quantum error correction using squeezed Schrödinger cat states

Schlegel, David S.; Minganti, Fabrizio; Savona, Vincenzo

doi:10.1103/physreva.106.022431

Cited by 34 publications

(12 citation statements)

References 98 publications

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“…The Schrödinger cat state plays an important role in exploring the boundary between quantum and classical physics [1][2][3], quantum information science [4][5][6][7][8][9], and quantum metrology [10,11]. It has been prepared in diverse systems, such as cavity quantum electrodynamics [12], ion traps [13], superconducting quantum circuits [14,15], and Rydberg atom arrays [16].…”

Section: Introductionmentioning

confidence: 99%

“…It has been prepared in diverse systems, such as cavity quantum electrodynamics [12], ion traps [13], superconducting quantum circuits [14,15], and Rydberg atom arrays [16]. Free-propagating optical Schrödinger cat states have attracted much attention due to their weak interaction with the environment, which is beneficial for quantum information processing [4][5][6][7][8][9]. An optical cat state is defined as a superposition of two coherent states |α and |−α with opposite phases and same mean photon number |α| 2 .…”

Section: Introductionmentioning

confidence: 99%

“…Besides optical cat states, squeezed cat (SC) states have also been identified as valuable resources for faulttolerant quantum information processing. For example, it has been shown that SC states have advantages in quantum error correction [7] and slowing decoherence of optical cat states [35,36]. In quantum error correction, the SC code allows to correct the errors caused by photon loss, while at the same time improving the protection against dephasing [7].…”

Section: Introductionmentioning

confidence: 99%

“…For example, it has been shown that SC states have advantages in quantum error correction [7] and slowing decoherence of optical cat states [35,36]. In quantum error correction, the SC code allows to correct the errors caused by photon loss, while at the same time improving the protection against dephasing [7]. To slow decoherence of optical cat states in quantum communication [36], an optical cat state should be squeezed along the superposition direction before the transmission, and then squeezed orthogonal to the superposition direction after the transmission.…”

Section: Introductionmentioning

confidence: 99%

“…[ 35,36 ] In quantum error correction, the SC code allows to correct the errors caused by photon loss, while at the same time improving the protection against dephasing. [ 7 ] To slow decoherence of optical cat states in quantum communication, [ 36 ] an optical cat state should be squeezed along the superposition direction before the transmission, and then squeezed orthogonal to the superposition direction after the transmission. Up to now, only the SC state squeezed along the superposition direction of coherent states has been prepared.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Experimental Preparation and Manipulation of Squeezed Cat States via an All‐Optical In‐Line Squeezer

Wang

Zhang

Qin

et al. 2022

Laser & Photonics Reviews

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The squeezed cat state, an essential quantum resource, can be used for quantum error correction and slowing decoherence of the optical cat state. However, preparing a squeezed cat state with high generation rate, and effectively manipulating it, remain challenging. In this work, a high-performance all-optical in-line squeezer is developed to prepare a squeezed cat state and manipulate the phase of the quadrature squeezing. This scheme has the advantages that the phase of the quadrature squeezing of the squeezed cat state can be manipulated by changing the working condition of the squeezer, and that a higher generation rate can be achieved via the deterministic squeezing operation of the in-line squeezer. The generation rate of squeezed cat states reaches 2 kHz, the same as that of the initial cat state. The all-optical in-line squeezer proposed here removes the requirements of electro-optic and opto-electric conversions necessary for an off-line squeezer, thus enabling high-bandwidth squeezing operations on non-Gaussian states. These results provide an efficient method to prepare and manipulate optical squeezed cat states, which makes a step closer to their applications in all-optical quantum information processing.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Experimental Preparation and Manipulation of Squeezed Cat States via an All‐Optical In‐Line Squeezer

Wang

Zhang

Qin

et al. 2022

Laser & Photonics Reviews

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Simultaneous Preparation of Two Optical Cat States Based on a Nondegenerate Optical Parametric Amplifier

Dong-mei

Wang

et al. 2023

Annalen der Physik

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The cat state, known as the superposition of coherent states, has broad applications in quantum computation and quantum metrology. Increasing the number of optical cat states is crucial to implement complex quantum information tasks based on them. Here, two optical cat states are prepared simultaneously based on a nondegenerate optical parametric amplifier. By subtracting one photon from each of two squeezed vacuum states, two odd cat states with orthogonal superposition direction in phase space are prepared simultaneously, which have similar fidelity of 60% and amplitude of 1.2. Compared with the traditional method to generate two odd optical cat states based on two degenerate optical parametric amplifiers, only one nondegenerate optical parametric amplifier is applied in this experiment, which saves half of the quantum resources of nonlinear cavities. The presented results make a step toward preparing the four‐component cat state, which has potential applications in fault‐tolerant quantum computation.

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Experimental Preparation of Optical Cat States Carrying Orbital Angular Momentum

Qiao,

Xu,

Wang

et al. 2024

Laser & Photonics Reviews

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As an important quantum resource, optical cat state is successfully prepared and applied in quantum information science. It is shown that optical quantum states carrying orbital angular momentum (OAM) have wide applications in quantum communication and quantum precision measurement. Here, optical cat states carrying OAM are experimentally prepared with topological charges = 0, +1, +2, +4 by changing the wavefront of the photon‐subtracted squeezed vacuum state with a combination of quarter‐wave plate and q‐plate. To verify the prepared cat states, both Wigner functions and topological charges of OAM are measured. It is shown that the fidelities and amplitudes of optical cat states carrying OAM decrease slightly with the increase of topological charges of OAM, although the spatial size of the optical beam is increased. These results present a new kind of optical cat state carrying OAM, which has potential applications in quantum precision measurement.

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Quantum error correction using squeezed Schrödinger cat states

Cited by 34 publications

References 98 publications

Experimental Preparation and Manipulation of Squeezed Cat States via an All‐Optical In‐Line Squeezer

Experimental Preparation and Manipulation of Squeezed Cat States via an All‐Optical In‐Line Squeezer

Simultaneous Preparation of Two Optical Cat States Based on a Nondegenerate Optical Parametric Amplifier

Experimental Preparation of Optical Cat States Carrying Orbital Angular Momentum

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