Comparison the performance of five-qubit IBM quantum computers in terms of Bell states preparation

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Comparison the performance of five-qubit IBM quantum computers in terms of Bell states preparation Mitali Sisodia1 Received: 5 February 2020 / Accepted: 25 May 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract There are several quantum computing platforms available on cloud. In this paper, we have compared the performance of five-qubit superconductivity-based four IBM quantum computers, namely IBM_ourense, IBM_vigo, IBMQX2, IBMQX4. Specifically, we studied the Bell states preparation in all these cases. We have calculated the fidelity between the experimentally generated and theoretically prepared states to compare the performance of IBM quantum computers for all the Bell states. This comparison shows IBM_ourense quantum computer exhibits better performance than other (IBM_vigo, IBMQX2, IBMQX4) IBM quantum computers. This shows technological advancement as the newer platforms available on cloud perform better. Keywords IBM quantum experience · Bell states preparation · Quantum state tomography

1 Introduction There are several quantum information processing tasks have been done using various experimental platforms, such as an experimental architecture based on NMR, ion-trap, silicon, nitrogen-vacancy center ([1–8] and references therein). Among these experimental architectures based on experimental platforms, one experimental platform deserves the special attention which is released by IBM in 2016 a five-qubit universal quantum computer prototype accessible on the cloud, based on superconducting qubits: the IBM Quantum Experience (IBM QE) [9]. This experimental platform has attracted the attention of the entire quantum information community because everyone can access it freely and easily through IBM Quantum Experience. There are several multi-qubit IBM quantum computers, which is also made up of superconducting transmon qubits, i.e., five-qubit, 15-qubit, 16-qubit, 20-qubit. Interestingly, several quantum

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Mitali Sisodia [email protected] Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan 342011, India 0123456789().: V,-vol

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Fig. 1 Architecture of old IBMQX2 for CNOT gate. These arrows shows which qubits are connected or which are not. For example, Q 4 and Q 0 are not connected, so CNOT gate can not be applied between these two qubits

communication tasks [10–25] have already been verified and tested of Leggett–Garg [26] and Mermin inequality [10], non-Abelian braiding of surface code defects [15], entropic uncertainty and measurement reversibility [27], Hardy’s paradox [28], topological quantum walks [29], quantum permutation algorithm [30] and entanglement assisted invariance [31] have been illustrated by using these SQUID-based quantum computers. But five-qubit IBM quantum computer is the world’s first commercial quantum computing service provided by IBM corporation via. a free web based interface called IBM Quantum Experience (IBM QE) [9] for the users. A proper advantage of it taken by researchers by demonstrating and