Squeezed coherent states- amplitude and phase

In summary, squeezed coherent states are quantum states of light that exhibit both amplitude and phase squeezing. They are different from coherent states in that they have uncertainties in both amplitude and phase, making them useful for certain types of measurements. They have various applications in quantum information science and can be generated through optical processes or state engineering techniques. Squeezed coherent states offer advantages in quantum information processing, such as improved precision in measurements and increased security in communication and computing. They also have potential applications in cryptography and error correction.
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I'm brushing up on squeezed coherent state and have seen them defined in terms of position and momentum squeezing and in terms of amplitude and phase squeezing...is there a relation between the two? Am i missing something obvious :p ?
 
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What are squeezed coherent states?

Squeezed coherent states are quantum states of light that exhibit both amplitude and phase squeezing. They are a special type of non-classical state that have been extensively studied in quantum optics and quantum information science.

How are squeezed coherent states different from coherent states?

Coherent states are classical-like states of light with well-defined amplitudes and phases. Squeezed coherent states, on the other hand, have uncertainties in both amplitude and phase, resulting in a squeezed distribution in phase space. This squeezing can lead to improved precision in certain types of measurements.

What are the applications of squeezed coherent states?

Squeezed coherent states have numerous applications in quantum information science, including quantum metrology, quantum sensing, and quantum communication. They are also used in quantum optics experiments to investigate the fundamental properties of quantum systems.

How are squeezed coherent states generated?

Squeezed coherent states can be generated through a process called optical parametric amplification, in which a strong coherent beam is combined with a weak signal beam to produce a squeezed output beam. They can also be generated using nonlinear optical processes or through quantum state engineering techniques.

What are the advantages of using squeezed coherent states in quantum information processing?

Squeezed coherent states offer several advantages in quantum information processing, including improved precision in measurements, increased security in quantum communication, and enhanced performance in quantum computing algorithms. They also have potential applications in quantum cryptography and quantum error correction.

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