If each photon of an quantum entangled pair of photons is herodyne of homodyne mixed, shifting it to a different frequency band, does this break the quantum entanglement between the two pairs?
In a sensor it might be beneficial for detection to shift electromagntic radiation encoded in photons from one band to another. This is normally done in a nonlinear element like a diode. Mixing is most often considered as a classical phenomenon and it certainly is highly effective, being present in almost all radio receivers. However, from a quantum perspective, does this break the entanglement between to entangled photons? If it does might there be some way of recovering the entanglement after mixing?
If the entanglement is, or is not broken, is there a way of proving this using the bra-ket notation of the quantum description of the mixing process?
Many thanks, Neil
Subject: Invitation to Join Dailyplanet.Club and Response to Your Quantum Entanglement Question
Dear Neil Salmon,
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I would like to invite you to join us at www.Dailyplanet.Club, where researchers, scientists, and innovators gather to explore groundbreaking questions in quantum mechanics, optics, and other fields. Your inquiry about whether heterodyne or homodyne mixing of entangled photons breaks their quantum entanglement is fascinating, and it aligns with some of the cutting-edge discussions we have in our community.
Regarding your question, mixing in quantum optics is often seen as a classical process, but when applied to entangled photons, it raises unique quantum considerations. In theory, as long as the mixing process preserves coherence and the quantum information encoded in the phase relationships between the photons, the entanglement could be preserved. However, if the process introduces noise or decoherence, it might break the entanglement. Proving this in bra-ket notation could involve analyzing the quantum state before and after the mixing, focusing on how the mixing operator affects the joint quantum state of the entangled pair.
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Subject: Invitation to Join Dailyplanet.Club and Response to Your Quantum Entanglement Question
Dear Neil Salmon,
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I would like to invite you to join us at www.Dailyplanet.Club, where researchers, innovators, and professionals explore fascinating topics like quantum optics, entanglement, and more. Your question about whether heterodyne or homodyne mixing of entangled photons breaks their quantum entanglement is a thought-provoking one, and it aligns perfectly with many of the discussions we have within the community.
Regarding your inquiry, when shifting the frequency band of entangled photons through mixing, if the process maintains coherence and doesn’t introduce significant decoherence or noise, the entanglement can, in theory, be preserved. However, disturbances to phase or polarization, or the introduction of thermal noise, could lead to decoherence, potentially breaking the entanglement. Analyzing the process using bra-ket notation can help model how the quantum state evolves during the mixing process, showing whether the entanglement is maintained or lost.
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Photons are Bosons, spin 1 . Photons do not interact with one another, they do not "mix," only Fermions (spin 1/2) can mix.
an interference pattern is not "mixing."
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