Understanding Continuous Variable QKD

In summary, Continuous Variable Quantum Key Distribution (CV-QKD) uses continuous variables, such as the quadratures X and P, to encode key bits. In this protocol, if Bob chooses the wrong quadrature, he will not receive the correct information, unlike in Discrete Variable QKD where he would still receive the right bit 50% of the time. Coherent states are used in both DV-QKD and CV-QKD, and they can be used to encode information in either the X or P quadrature. Squeezed states are also used in CV-QKD and can reduce uncertainty in either quadrature for increased security.
  • #1
Dopplershift
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So, I am doing my undergraduate research project in Quantum Cryptography, and I have some confusion in a few areas, especially in the topic of continuous variable quantum key distribution.

From what I understand,
Discrete Variable - Single photon. That is, for example, the BB84 protocol. Bob is measuring 1 photon at a time.
Continuous Variable- Alice encodes key bits (is it more than 1 bit of the key?) in the quadrature X and P.

I understand that is Bob measures in the right quadrature in the BB-84 protocol, then he'll get the right corresponding bit. However, if he chooses the wrong quadrature, he'll get the right bit 50% of the time.

But in CV-QKD, if Bob chooses the right quadrature either X or P, then he'll get the right information, but what happens if he chooses the wrong quadrature?

One more question, in continuous-variable QKD, what is the difference between coherent states and squeeze states. I understand that squeeze states either increase or decrease the certainty in the quadrature X and P because of the uncertainty principle. Is coherent states still used in DV-QKD (similar to weak pulses)?

Thanks for your help!
 
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  • #2
In Continuous Variable (CV) QKD, if Bob chooses the wrong quadrature then he will not get the right information. Instead, he will get random data that has no meaning. This is why it is important for Bob and Alice to agree on which quadrature to use in advance. Coherent states are used in both Discrete Variable (DV) and Continuous Variable (CV) QKD. In DV-QKD, coherent states are usually used in the form of weak pulses. In CV-QKD, coherent states can be used to encode information in either X or P quadrature. Squeezed states are also used in CV-QKD, but unlike coherent states they can reduce the uncertainty of either the X or P quadrature. This allows for increased security and better performance in noisy channels.
 

FAQ: Understanding Continuous Variable QKD

1. What is Continuous Variable Quantum Key Distribution (CV-QKD)?

Continuous Variable Quantum Key Distribution (CV-QKD) is a method of secure communication that uses the principles of quantum mechanics to exchange encryption keys between two parties. Unlike traditional methods of key distribution, CV-QKD is based on the transmission of quantum states, making it highly secure against eavesdropping attempts.

2. How does CV-QKD work?

In CV-QKD, a sender (usually referred to as Alice) transmits a series of quantum states, while a receiver (usually referred to as Bob) measures these states and extracts a shared secret key. This key is then used to encrypt and decrypt messages for secure communication. The security of CV-QKD relies on the fundamental properties of quantum mechanics, including the uncertainty principle and the no-cloning theorem.

3. What are the advantages of CV-QKD over other methods of key distribution?

CV-QKD offers several advantages over other methods of key distribution, including increased security, higher key rates, and longer maximum distances of transmission. Additionally, CV-QKD does not require the use of specialized hardware, making it more cost-effective and easier to implement.

4. What are the potential applications of CV-QKD?

CV-QKD has the potential to be used in a variety of applications, such as secure communication for government and military agencies, financial institutions, and healthcare organizations. It can also be integrated into existing communication systems, such as the internet, to enhance their security.

5. What are the current limitations of CV-QKD?

One of the main limitations of CV-QKD is the requirement for a direct line of sight between the sender and receiver. This can be challenging in some scenarios, such as in urban environments with tall buildings. Additionally, CV-QKD is vulnerable to certain types of attacks, such as side-channel attacks, which can compromise the security of the key exchange.

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