Generation of squeezed Fock states by measurement

Abstract

The generation of squeezed Fock states by the one or more photon subtraction from a two-mode entangled Gaussian (TMEG) state is theoretically addressed. We showed that an arbitrary order Fock state can be generated this way and we obtained a condition that should be imposed on the parameters of the TMEG state to guaranty such a generation. We called the regime, in which this condition is satisfied, universal solution regime. We showed that, for first squeezed Fock state, the above condition is redundant such that the generation of the first squeezed Fock state is still possible by a one photon subtraction from an arbitrary TMEG state. At the same time, the maximum generation probability of the first squeezed Fock state generation corresponds to the universal solution regime. We applied the above results to the description of generation of the squeezed Fock states using a beam splitter and a Controlled-Z operation. We have estimated the parameters of such setups and input squeezed states, which are necessary to obtain squeezed Fock states with the maximum probability.

References in corpus (6)

• Quantum metrology of two-photon absorption
• Wave-function engineering via conditional quantum teleportation with non-Gaussian entanglement resource
• De-Gaussification by inconclusive photon subtraction
• Teleportation with a cubic phase gate
• Teleportation protocols with non-Gaussian operations: conditional photon subtraction versus cubic phase gate
• CZ vs Beam Splitter: errors of entangled operations

Cited by in corpus (6)

• Error Correction Using Squeezed Fock States
• Extended analysis of distillation and purification of squeezed states of light
• Bosonic quantum error correction using squeezed Fock states
• Estimation of the set of states obtained in particle number measurement schemes
• Comparison of Controlled-Z operation and beam-splitter transformation for generation of squeezed Fock states by measurement
• Maximum heralding probabilities of nonclassical-state generation from a two-mode Gaussian state via photon-counting measurements