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Updated: Aug 14, 2025

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Published on: May 30, 2014
Entanglement Thresholds of Doubly Parametric Quantum Transducers
Curtis L Rau1,2, Akira Kyle1,2, Alex Kwiatkowski1,2
1Department of Physics, University of Colorado, Boulder, Colorado 80309, USA.
Doubly parametric quantum transducers can entangle optical and microwave modes, crucial for quantum networking. Surprisingly, quantum operation doesn't require high cooperativity or ground-state cooling.
Area of Science:
- Quantum information science
- Quantum optics
- Quantum acoustics
Background:
- Doubly parametric quantum transducers are vital for linking quantum information in disparate frequency domains (optical and microwave).
- This technology is key for long-distance networking of superconducting quantum computers.
- Experimental progress has reduced decoherence, but fundamental requirements for quantum operation remain unclear.
Purpose of the Study:
- To derive protocol-independent conditions for doubly parametric transducers to achieve quantum operation.
- To characterize the entanglement capabilities of transducers acting as two-mode bosonic Gaussian channels.
- To identify the necessary and sufficient parameter conditions for entangling optical and microwave modes.
Main Methods:
- Modeling the transducer as a two-mode bosonic Gaussian channel with beamsplitter-type and two-mode squeezing-type interactions.
- Analyzing parameter thresholds to distinguish channel properties like separability and entanglement capacity.
- Investigating conditions for quantum operation, including temperature, cooperativity, and loss.
Main Results:
- Simple, protocol-independent expressions for necessary and sufficient conditions for quantum operation were derived.
- Beamsplitter-type interaction shows parameter thresholds for separability and entanglement capacity.
- Two-mode squeezing-type interaction always produces distillable entanglement, irrespective of temperature, cooperativity, or loss.
- Achieving quantum operation is possible without quantum cooperativity exceeding one or ground-state cooling.
Conclusions:
- Current state-of-the-art devices are theoretically capable of entangling optical and microwave modes.
- The findings provide fundamental insights into the requirements for quantum transducer operation.
- This work clarifies the conditions for enabling quantum networking between superconducting quantum computers and other quantum systems.
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