Quantum Computing with Classical Coherent States

Researchers Ivan B Djordjevic and Vijay Nafria from the University of Arizona have explored the use of classical coherent states in quantum computing. These states, a fundamental concept in quantum mechanics, can be described as a superposition of multiple different states and have been shown to be capable of being entangled, a key property in quantum computing. The team proposed a solution to implement these states in integrated optics, a complex process with significant potential for advancing quantum computing. Their research opens up new possibilities for the development of quantum computers and highlights the importance of classical coherent states in quantum computing.

What are Classical Coherent States and How Do They Impact Quantum Information Processing and Quantum Computing?

Classical coherent states are a fundamental concept in quantum mechanics, and they have recently been shown to have significant implications for quantum information processing and quantum computing. This article discusses the work of Ivan B Djordjevic and Vijay Nafria from the University of Arizona Department of Electrical and Computer Engineering, who have explored the use of classical coherent states in quantum computing.

Classical coherent states are a type of quantum state that can be described as a superposition of multiple different states. They have been shown to be capable of being entangled, a key property in quantum computing, which allows for the simultaneous processing of multiple pieces of information. This property was recently demonstrated by Bellini’s group, who showed that macroscopic states, including coherent states, can be entangled by the delocalized photon addition.

The use of classical coherent states in quantum computing has been further motivated by the work of Deymier’s group, who demonstrated that phase bits (phi-bits) gates, implemented using topological acoustics principles, can be used to implement quantum computing analogs. This has led to a reevaluation of previous work on the implementation of universal quantum gates in integrated optics, with a new focus on the use of classical coherent states.

How Can Classical Coherent States be Implemented in Integrated Optics?

The implementation of classical coherent states in integrated optics is a complex process, but one that has significant potential for advancing quantum computing. The main challenge in this process is the implementation of the controlled-phase gate, a key component of quantum computing, at the single photon level. This is due to the fact that existing optical nonlinear devices are incapable of introducing the necessary phase shift on a single photon level through the Kerr effect.

However, Djordjevic and Nafria propose a solution to this problem by using classical polarization states derived from classical coherent states. They also describe how to implement quantum qudit analogs based on orbital angular momentum (OAM) states and corresponding qudit gates. This approach allows for the implementation of the universal set of quantum gates in integrated optics, opening up new possibilities for quantum computing.

What is the Significance of this Research?

The research conducted by Djordjevic and Nafria has significant implications for the field of quantum computing. By demonstrating how to implement classical coherent states in integrated optics, they have opened up new possibilities for the development of quantum computers.

Furthermore, their work has highlighted the importance of classical coherent states in quantum computing. By demonstrating the controlled-phase gate operation between classical coherent states, they have shown that these states can be used to perform complex quantum computations.

This research also has potential commercial applications, with significant efforts being made towards the commercialization of quantum computers. The development of quantum computing libraries, such as Qiskit, Cirq, Forest, ProjectQ, and Quantum development kit (QDK), further highlights the growing interest in this field.

What are the Future Directions for this Research?

The work of Djordjevic and Nafria represents a significant step forward in the field of quantum computing, but there is still much work to be done. Future research will likely focus on further exploring the potential of classical coherent states in quantum computing, and on developing new methods for implementing these states in integrated optics.

In particular, there is a need for further research into the implementation of the controlled-phase gate at the single photon level, and into the use of classical polarization states derived from classical coherent states. There is also a need for further exploration of quantum qudit analogs based on OAM states and corresponding qudit gates.

Overall, the work of Djordjevic and Nafria represents an exciting development in the field of quantum computing, and one that is likely to inspire further research in this area.