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Rhea Parekh

Publications and source records attributed to Rhea Parekh.

3 recordsLinked to original sources

Path-Oblivious Entanglement Swapping for the Quantum Internet

Proposed Bell pair swapping protocols, an essential component of the Quantum Internet, are planned-path: specific, structured, routing paths are reserved prior to the execution of the swapping process. This makes sense when one assumes the state used in the swapping process is expensive, fragile, and unstable. However, lessons from classical networking have shown that while reservations seem promising in concept, flexible, reservation-light or free approaches often outperform their more restrictive counterparts in well-provisioned networks. In this paper, we propose that a path-oblivious approach is more amenable to supporting swapping as quantum state evolves into a cheaper, more robust form. We formulate the swapping process as a linear program and present and evaluate a fairly naive baseline swapping protocol that tries to balance Bell pairs throughout the network. Preliminary results show that while naive balancing leaves room for improvement, investigating path-oblivious swapping is a promising direction.

cs.NI

Quantum Algorithms and Simulation for Parallel and Distributed Quantum Computing

A viable approach for building large-scale quantum computers is to interlink small-scale quantum computers with a quantum network to create a larger distributed quantum computer. When designing quantum algorithms for such a distributed quantum computer, one can make use of the added parallelization and distribution abilities inherent in the system. An added difficulty to then overcome for distributed quantum computing is that a complex control system to orchestrate the various components is required. In this work, we aim to address these issues. We explicitly define what it means for a quantum algorithm to be distributed and then present various quantum algorithms that fit the definition. We discuss potential benefits and propose a high-level scheme for controlling the system. With this, we present our software framework called Interlin-q, a simulation platform that aims to simplify designing and verifying parallel and distributed quantum algorithms. We demonstrate Interlin-q by implementing some of the discussed algorithms using Interlin-q and layout future steps for developing Interlin-q into a control system for distributed quantum computers.

quant-ph

Generalized Boolean Functions and Quantum Circuits on IBM-Q

We explicitly derive a connection between quantum circuits utilising IBM's quantum gate set and multivariate quadratic polynomials over integers modulo 8. We demonstrate that the action of a quantum circuit over input qubits can be written as generalized Walsh-Hadamard transform. Here, we derive the polynomials corresponding to implementations of the Swap gate and Toffoli gate using IBM-Q gate set.

quant-ph