Unitary Quantum Cloner: Micro-Macro Entanglement & CHSH Inequality

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In summary, the conversation discusses the concept of a unitary quantum cloner and its ability to generate micro-macro entanglement. It is suggested that by amplifying one of the entangled photons using the cloner, the corresponding macroscopic amplification may be in a superposition until measurement, potentially leading to a violation of the CHSH inequality. However, if the polarisation of the other photon is measured and then sent into the cloner, the result may be equivalent to a measure and prepare cloner, which would not produce a micro-macro entangled state and therefore not violate the CHSH inequality. There is also a question about the speed at which a unitary quantum cloner can generate macroscopic amplification, and whether
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With a unitary quantum cloner, because it generates micro-macro entanglement, if we amplify one of the entangled photons using the cloner, does that mean that the corresponding macroscopic amplification is in a superposition (a superposition of V and H polarisation) until measurement? Would we see a violation of the CHSH inequality?

Also, if we measure the polarisation of the other photon, then send the partner photon into the unitary quantum cloner, would that produce the same result as a measure & prepare cloner (hence not produce a micro-macro entangled state), and thereby expect no violation of the CHSH inequality?
 
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Perhaps another question - how fast can an unitary quantum cloner generate the macroscopic amplification? Is it in principle, any speed?
 

Related to Unitary Quantum Cloner: Micro-Macro Entanglement & CHSH Inequality

1. What is a Unitary Quantum Cloner?

A Unitary Quantum Cloner is a device that can create identical copies of quantum states, which are the fundamental units of information in quantum mechanics. The process of cloning quantum states is known as quantum cloning and is based on the principles of quantum entanglement.

2. How does Micro-Macro Entanglement work?

Micro-Macro Entanglement is a phenomenon in which a quantum system, such as an individual atom or photon, becomes entangled with a larger, macroscopic system, such as a collection of atoms or a solid object. This occurs when the quantum system interacts with the larger system, causing them to share a state and become entangled with each other.

3. What is the CHSH Inequality?

The CHSH Inequality (Clauser-Horne-Shimony-Holt inequality) is a mathematical expression used to test the validity of local hidden variable theories in quantum mechanics. It is based on the idea that if a theory of quantum mechanics obeys certain classical constraints, then it must also satisfy the CHSH Inequality. Violations of this inequality indicate that the theory is not based on local hidden variables.

4. How is the Unitary Quantum Cloner related to CHSH Inequality?

The Unitary Quantum Cloner is related to the CHSH Inequality in that it can be used to test the validity of local hidden variable theories. By cloning a quantum state and measuring it in different ways, scientists can determine if the results violate the CHSH Inequality, providing evidence that the theory is not based on local hidden variables.

5. What are the potential applications of Unitary Quantum Cloning?

Unitary Quantum Cloning has potential applications in quantum information processing, quantum communication, and quantum cryptography. It could also have practical applications in technologies such as quantum computers, quantum sensors, and quantum encryption. Additionally, studying the process of quantum cloning can provide insights into the fundamental principles of quantum mechanics and the nature of entanglement.

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