Entangled states shaping with CV states of definite parity

Dmitry A. Kuts,Sergey A. Podoshvedov

doi:10.1038/s41598-022-05336-2

Abstract

We present a new method to entangle continuous variable (CV) states of certain parity and photonic states for the purpose of generating optical hybrid cluster (HC) states. To do it we introduce two families of the CV states of definite parity which stems from single mode squeezed vacuum (SMSV) state. Potential to apply the CV states of certain parity is high. We report on the generation of the even/odd Schrödinger cat state like (SCS-like) states whose fidelities with even/odd SCS of amplitude of 4.2 are more of 0.99, when 30,31 photons are detected in auxiliary mode of input SMSV state initially mixed with single photon. We show that the quantum efficiency of a photon number resolving (PNR) detector is crucial to maintaining the success rate of even/odd SCSs generator at an acceptable level. The scheme with delocalized photon implements deterministic imperfect entanglement operation between macro and micro states. We show that the beam splitter implements the two-qubits operation control-Z (CZ) for input CV states of definite parity and photonic states, provided that certain result is detected in measurement mode. An extension of the entangling operation for two entangled delocalized photons (TEDP) allows one to realize three-qubit HC state. Seven-qubit HC state is the result of conjunction of two three-qubit HC states through TEDP state.

Highlights

The concept of entanglement is a fundamental property in quantum mechanics that underlies photonic quantum computer[1,2,3]
To illustrate the basic technique of conditional shaping of hybrid entangled states composed of continuous variable (CV) states of definite parity and photonic states, initially, we introduce the families of the CV states of definite parity
We have developed a method of entanglement of continuous CV states of definite parity and photonic states for the purpose of generating more complex entangled states of light

Summary

Introduction

The concept of entanglement is a fundamental property in quantum mechanics that underlies photonic quantum computer[1,2,3]. The CV states of definite parity are generated by subtraction of a number of photons from original SMSV state.

Results

Conclusion