2025/12/24 by Juan Pablo Paz, Paz, Juan Pablo, Corina Révora +3
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Computing Algorithms and Architecture
paper · doi:10.48550/arxiv.2512.21229
We define and study the properties of ``squeezed quantum multiplets''. Ordinary multiplets are sets of D-orthonormal quantum states formed by superpositions of states squeezed along D equally spaced directions in quadrature space. More generally, we also discuss superpositions of ``higher-order squeezed states'', including tri-squeezed and quad-squeezed states. All these states involve superpositions of multiples of p photons. We compare states in ordinary (p=2) multiplets and higher-order ones (p>2) in the most relevant cases, showing that ordinary squeezed multiplets and higher-order ones share some important similarities, as well as some differences. Finally, we present analytical expressions for phase-space distributions (Wigner and characteristic functions) representing ordinary squeezed multiplets. We use this to show that some squeezed multiplets are highly sensitive to perturbations in all phase-space directions, making them interesting for metrological applications.