Multi-headed symmetrical superpositions of coherent states

Abstract

Based on N different coherent states with equal weights and phase-space rotation symmetry, we introduce N-headed incoherent superposition states (NHICSSs) and N-headed coherent superposition states (NHCSSs). These N coherent states are associated with N-order roots of the same complex number. We study and compare properties of NHICSSs and NHCSSs, including average photon number, Mandel Q parameter, quadrature squeezing, Fock matrix elements and Wigner function. Among all these states, only 2HCSS (i.e., Schrodinger cat state) presents quadrature-squeezing effect. Our theoretical results can be used as a reference for researchers in this field.

arXiv comment7 pages, 10 figures

References in corpus (21)

• Generation of large-amplitude coherent-state superposition via ancilla-assisted photon-subtraction
• Breeding the optical Schroedinger's cat state
• Generating superposition of up-to three photons for continuous variable quantum information processing
• Experimental demonstration of bosonic commutation relation via superpositions of quantum operations on thermal light fields
• Asymptotic security analysis of discrete-modulated continuous-variable quantum key distribution
• Explicit asymptotic secret key rate of continuous-variable quantum key distribution with an arbitrary modulation
• Coherent State Quantum Key Distribution with Multi Letter Phase-Shift Keying
• Phase space tweezers for tailoring cavity fields by quantum Zeno dynamics
• Quantum error correction against photon loss using multi-component cat states
• The Parity Operator: applications in quantum metrology
• Entangling macroscopic light states by delocalized photon addition
• Quantum metrology at the Heisenberg limit with ion traps
• Continuous-variable quantum cryptography with discrete alphabets: Composable security under collective Gaussian attacks
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing
• Quantum key distribution with phase-encoded coherent states: Asymptotic security analysis in thermal-loss channels
• Extremal quantum states
• Quantum phase estimation using a multi-headed cat state
• Sub-Planck structures: Analogies between the Heisenberg-Weyl and SU(2) groups
• How squeezed states both maximize and minimize the same notion of quantumness
• Changing Fock matrix elements of two-mode squeezed vacuum state by employing three quantum operations in one-sided lossy channel
• Parity-Swap State Comparison Amplifier for Schrödinger Cat States