Conditional cooling limit for a quantum channel going through an incoherent environment
Ivo Straka, Martina Mikov\'a, Michal Mi\v{c}uda, Miloslav Du\v{s}ek,, Miroslav Je\v{z}ek, and Radim Filip

TL;DR
This paper establishes and experimentally verifies a fundamental conditional cooling limit for quantum channels passing through incoherent environments, crucial for maintaining entanglement in quantum technologies.
Contribution
It introduces a new conditional cooling limit for quantum channels in incoherent environments and experimentally demonstrates its validity.
Findings
The cooling limit determines when a quantum channel preserves entanglement.
Experimental verification confirms the theoretical predictions.
The limit is essential for entanglement-based quantum applications.
Abstract
We propose and experimentally verify a cooling limit for a quantum channel going through an incoherent environment. The environment consists of a large number of independent non-interacting and non-interfering elementary quantum systems - qubits. The qubits travelling through the channel can only be randomly replaced by environmental qubits. We investigate a conditional cooling limit that exploits an additional probing output. The limit specifies when the single-qubit channel is quantum, i.e. it preserves entanglement. It is a fundamental condition for entanglement-based quantum technology.
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