Abstract Two‐mode Schrödinger cats consisting of two and four coherent‐state terms are considered. It is shown that they are closely related to the quadrature entangled EPR pair. The properties of their wave functions are investigated from their aspects of entanglement. It is shown that at certain parameters the entangled properties of the two‐mode Schrödinger cats allow for good teleportation fidelity. A theoretical generalization to the teleportation of two qubits is also discussed.

Fortschritte der PhysikFeb 26, 20037 citations

IEEE International Symposium on Information Theory (ISIT)

Property of 1-qubit gate for Schrodinger cat states

Naoki Takatsu, Tsuyoshi Sasaki Usuda, Ichi Takumi

Published Dec 4, 2001• 0 citations

OpenAlex

Related papers

Multi-qubit gates and Schrödinger cat states in an optical clock

Alec Cao, William J. Eckner, Theodor Lukin Yelin +8 more

arXiv:2402.16289NatureOct 9, 2024110 citations

Manipulation of a Schrödinger-cat state in a resonator using a qubit

Tomoko Fuse, Zhihao Xiao, Sahel Ashhab +5 more

The Japan Society of Applied PhysicsJul 10, 20190 citations

Universal Quantum Gate Set for Multi-Mode Schrödinger Cat States Stabilized by Non-Local Dissipation Engineering

Jesper Lind-Olsen, Jonas Lidal, Tron Omland +1 more

Schrödinger cat states provide a hardware-efficient platform for bosonic quantum error correction by encoding logical information in protected manifolds of harmonic oscillators. While previous work has demonstrated the dissipative stabilization of multi-mode Schrödinger cat states as robust quantum memories, a framework for universal quantum computation has remained unavailable. Here we work towards this by introducing a universal gate set for dissipatively stabilized multi-mode cat qubits as a necessary resource for computation. Using a chain of Kerr non-linear oscillators coupled through engineered non-local dissipation and an effective low-dimensional description, we show how single-qubit control can be achieved through arbitrary rotation around the $X$ -axis and $π/2$ -rotation around the $Z$ -axis. We further show how coupling two such stabilized arrays through just one oscillator on each respective array enables coherent entangling operations through implementation of the $XX_{π/2}$ gate. Numerical simulations demonstrate high-fidelity gate dynamics and entanglement generation under realistic parameters. Finally, we analyze the effects of induced and intrinsic photon loss, disorder, and the validity regime of the effective low-dimensional theory. Our results establish dissipatively stabilized multi-mode Schrödinger cat states as a potential architecture for universal bosonic quantum computation.Schrödinger cat states provide a hardware-efficient platform for bosonic quantum error correction by encoding logical information in protected manifolds of harmonic oscillators. While previous work has demonstrated the dissipative stabilization of multi-mode Schrödinger cat states as robust quantum memories, a framework for universal quantum computation has remained unavailable. Here we work towards this by introducing a universal gate set for dissipatively stabilized multi-mode cat qubits as a necessary resource for computation. Using a chain of Kerr non-linear oscillators coupled through engineered non-local dissipation and an effective low-dimensional description, we show how single-qubit control can be achieved through arbitrary rotation around the $X$-axis and $π/2$-rotation around the $Z$-axis. We further show how coupling two such stabilized arrays through just one oscillator on each respective array enables coherent entangling operations through implementation of the $XX_{π/2}$ gate. Numerical simulations demonstrate high-fidelity gate dynamics and entanglement generation under realistic parameters. Finally, we analyze the effects of induced and intrinsic photon loss, disorder, and the validity regime of the effective low-dimensional theory. Our results establish dissipatively stabilized multi-mode Schrödinger cat states as a potential architecture for universal bosonic quantum computation.

quant-pharXiv:2607.13975Jul 16, 20260 citations

Quantum Gates on One Qubit

Bettina Just

Springer eBooksJan 1, 20224 citations

Generation of macroscopic Schroedinger's cat states in qubit-oscillator systems

Jin‐Feng Huang, Jie‐Qiao Liao, Lin Tian

Bulletin of the American Physical SocietyMar 15, 20160 citations

Two‐mode Schrödinger cats, entanglement and teleportation

József Janszky, János K. Asbóth, A. Gábris +3 more

Fortschritte der PhysikFeb 26, 20037 citations

X

-axis and

π/2

-rotation around the

Z

-axis. We further show how coupling two such stabilized arrays through just one oscillator on each respective array enables coherent entangling operations through implementation of the

XX_{π/2}

gate. Numerical simulations demonstrate high-fidelity gate dynamics and entanglement generation under realistic parameters. Finally, we analyze the effects of induced and intrinsic photon loss, disorder, and the validity regime of the effective low-dimensional theory. Our results establish dissipatively stabilized multi-mode Schrödinger cat states as a potential architecture for universal bosonic quantum computation.