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Large Quantum Networks

Overview:

Quantum technologies are going to play an important role in future in multiple dimensions. Quantum computers have started proliferating to solve some of the hardest problems which are difficult for even classical supercomputers as were demonstrated by the Quantum Supremacy experiments in the last 5 years. Several problems, which are virtually impossible to solve on a classical computer since the solution space grows exponentially with input size, are being solved by quantum computers. Primarily two types of quantum computing have been implemented, namely circuit based and adiabatic approaches. Quantum machine learning promises to add one  more area in quantum computing which helps in dealing with high dimension data. Also, with the advent of quantum computers, many classical cryptographic methods, RSA, are likely to fail. Hence, post-quantum cryptography and quantum cryptography are likely to provide quantum-safe security solutions. Quantum Key Distribution (QKD) is one such method where the cryptographic keys are generated through a quantum channel.

The vision of a quantum internet holds promise for transforming communication and computation in ways that were previously unimaginable. While the classical internet has undoubtedly revolutionized the world, it also faces challenges such as cybersecurity threats, etc., and limitations in computational power for certain tasks. Quantum internet offers solutions to some of these challenges. One of the most significant advantages of a quantum internet will be  its inherent security features. Quantum cryptography exploits the property that when ‘a’ quantum state is measured, you cannot get back ‘that’ quantum state and offers unbreakable encryption, offering a level of security that is theoretically impossible to breach using classical methods. Furthermore, quantum communication enables the distribution of quantum entangled particles over long distances. This phenomenon, known as quantum entanglement, allows for instantaneous communication between particles regardless of the distance separating them. Quantum entanglement over large distances, combined with quantum teleportation has the potential to  revolutionize fields such as secure communication and  distributed computing. Moreover, there exist several qubit generation technologies ranging from ion-traps to superconducting methods to recently invented semiconducting methods,  which can perform computations at an exponentially higher speed than classical computers. These technologies   could further augment the capabilities of the quantum internet provided we step up the research in the area of quantum  communication and transmit and receive the computed data with high fidelity and without losses. Distributed quantum computing, facilitated by a quantum internet, could then enable collaborative processing of vast amounts of data and solve complex problems that are currently beyond the reach of classical computing, in areas such as computational chemistry, drug discovery, weather and climate modelling etc..

However, the development of a quantum internet is still in its infancy, and numerous technical challenges must be overcome before it becomes a reality. The primary problem that arises in the transmitting of the qubits over large distances  is ‘decohorence’ due to which the data is lost to the environment, without reaching the intended destination.  Although, significant progress is being made in research laboratories around the world, several open problems  exist in this area of quantum communication.  Efficient qubit generation, efficient entanglement generation and distribution, development of quantum hardware such as  memories and  repeaters (to overcome decoherence) ,  computing hardware and interfaces with classical hard ware etc. on the device side; development of quantum network layers, respective  protocols and their integration with existing communication network  infrastructure on the protocol front are some of the important areas, that are worth mentioning .

It is important to note that a quantum node is a combination of  a quantum computer (a qubit generator, entanglement generator and some computing hardware and interfaces),  a quantum channel, a classical channel , quantum memories and repeaters and an arrangement to purify entanglement.  It is thus obvious, that  Quantum Internet  / large quantum networks will be formed from combining  such quantum nodes in various topologies.

Our work till date has been  in the area of protocol development for large quantum networks, assuming that quantum nodes as mentioned above are available.  We have written a code and are performing simulations that can emulate behaviour patterns in  large scale quantum networks.  The following is a summary of our work so far.

Quantum entanglement distribution over large networks

For information transfer over quantum networks, it is important for the sender and the receiver to share entanglement. This enables quantum teleportation of any arbitrary qubit between the two entities. At present, entanglements are primarily tried between point-to-point nodes. However, with the application of entanglement swapping using a quantum repeater the entanglement can be distributed to a third node. For example, if a node A is entangled with B and B is entangled with C then an entanglement can be established between A and C using swapping. For a large network, efficient mechanisms have to be developed for quick setup of entanglements between any two remote nodes. This is an area of active research where several mechanisms are being proposed which may eventually get into standards for quantum internet. Thus, contributing to this research area is of paramount importance. As a matter of fact, we have already made a beginning and published couple of papers in this direction.

In our first paper, we proposed to keep the history of entanglements of different nodes and the routes used (in a physical channel memory) and when needed use this information to find the best  path for entanglement between two distant nodes. This work also proposed establishment of entanglements proactively between nodes that were frequently entangled previously, before the user sends his/her request for data transfer between two nodes. This method, we showed in our work, improved the connection setup failure rate from 25 % to 5 %.

In our second work, we started by considering random graphs  one for entanglements and one for usage patterns . We assumed usage pattern to have (a) uniform (b) Gaussian and (c) power law distributions; while the graph containing entanglements  had both proactive and reactive entanglements. With this input we evolved the system and we found that there exists a power law distribution, of the form y = Ax-B  for the Usage frequencies of entangled edges, while  the Node degrees of entangled graph follow Monomolecular distribution,  y= A-B e-C X . From this studies, it was inferred that some edges in the network develop centralities, which means many other nodes want to connect to those specific nodes. Thus, our work can aid in better allocation of resources at the edges. Let us say a particular node is being sought by several other nodes in the network (as shown in our studies)  then this  edge should have a qubit generating technology that is swift and also at that edge  the entanglement should also be happening at a faster rate, when compared to another edge of the network that had limited  traffic.

We plan to continue this work and develop  efficient mechanisms for bipartite and multipartite entanglement generation and distribution over large networks.

References

  • Das, S. K. Malapaka, J. Bapat and D. Das, “A Proactive Connection Setup Mechanism for Large Quantum Networks,” 2022 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT), Bangalore, India, 2022, pp. 1-6, doi: 10.1109/CONECCT55679.2022.9865700.
  • Das, S. K. Malapaka, J. Bapat and D. Das, “Network Centralities in Quantum Entanglement Distribution due to User Preferences,” arXiv preprint arXiv:2308.08170.

TEAM MEMBERS:

Prof. Shiva Kumar Malapaka – IIITB