Abstract

We experimentally perform the simulation of open quantum dynamics in single-qudit systems. Using a spatial light modulator as a dissipative optical device, we implement dissipative-dynamical maps onto qudits encoded in the transverse momentum of spontaneous parametric down-converted photon pairs. We show a well-controlled technique to prepare entangled qudits states as well as to implement dissipative local measurements; the latter realize two specific dynamics: dephasing and amplitude damping. Our work represents a new analogy-dynamical experiment for simulating an open quantum system.

Highlights

  • In this paper we report an experimental technique for simulating decoherence in the the dynamics of a qudit

  • In this work we experimentally demonstrated simulations of dissipative dynamics on quantum systems in a simple implementation

  • Our quantum systems are spatial qudits encoded in the transverse paths of photons pairs generated by spontaneous parametric down-conversion (SPDC)

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Summary

Open quantum systems

We present a brief review of the theory of open quantum systems in order to outline this work. This case, an intuitive set of Kraus γ jdt A j where γ jdt 1 and terms operators is of the order given of dt[2] by are. This so-called unravelling of the Master equation is associated to the Quantum Trajectories method where K 0 and K j are respectively known as the No-Jump and Jump operators This method is connected both to an alternative way to calculated the evolution of the system on average as well as a direct way to infer its evolution at any single realization where a sequential measurement of the state of the environment is performed.

Amplitude Damping
Experimental setup
Dephasing implementation
Asinc ka x f i sinc ka x fβ s
Amplitude damping implementation
Summary
Author Contributions
Findings
Additional Information
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