Optimal squeezing and entanglement from noisy Gaussian operations.

Area of Science:

• Quantum optics
• Quantum information science

Background:

• Quantum squeezing is crucial for advanced quantum technologies.
• Noise and losses degrade the performance of quantum devices.

Purpose of the Study:

• To determine the optimal use of quantum squeezing operations under realistic noisy conditions.
• To analyze the benefits of supplementing noisy operations with noiseless passive elements.
• To investigate the generation of entanglement from noisy squeezing operations.

Main Methods:

• Analytical optimization of single and repeated uses of squeezing devices.
• Investigating the convergence rate of squeezing with iterative applications.
• Determining fixed intermediate passive operations for optimal multi-use performance.
• Relating squeezing optimization to entanglement generation.

Main Results:

• Squeezing performance is optimized even in the presence of noise and losses.
• Repeated use of devices leads to exponentially fast convergence to an asymptotic optimum.
• The asymptotic optimum for squeezing is explicitly determined.
• Maximal two-mode entanglement generation is derived for the scenario.

Conclusions:

• Optimal strategies exist for utilizing noisy quantum squeezing devices.
• Iterative application of quantum operations offers significant performance gains.
• The study provides a framework for maximizing entanglement generation in realistic quantum systems.