Demonstration of the Quantum No-Hiding Theorem in a Category Theoretic Framework: An IBM Quantum Experience

Kalra, Amolak Ratan; Prakash, Soam; Behera, Bikash K.; Panigrahi, Prasanta K.

doi:10.20944/preprints201709.0138.v1

Cited by 3 publications

(2 citation statements)

References 23 publications

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“…In particular, we observe the best results of optimization of circuits for non-destructive discrimination of arbitrary set of orthogonal quantum states given in [18] for both QX4 and QX2 architectures (for details, see Tables 3 and 4: (67-78) % of reduction in gate counts and (57-63)% reduction in the levels are achieved for the circuits shown in Fig. (25)(26)(27)(28)(29) and in Fig. 1a of [18]).…”

Section: Circuits For the Realization Of Mermin Inequalitymentioning

confidence: 85%

Circuit optimization for IBM processors: A way to get higher fidelity and higher values of nonclassicality witnesses

Sisodia,

Shukla,

de Almeida

et al. 2018

Preprint

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Recently, various quantum computing and communication tasks have been implemented using IBM's superconductivity-based quantum computers which are available on the cloud. Here, we show that the circuits used in most of those works were not optimized and the use of the optimized circuits can considerably improve the possibility of observing unique features of quantum mechanics. Specifically, a systematic procedure is used here to obtain optimized circuits (circuits having reduced gate count and number of levels) for a large number of Clifford+T circuits which have already been implemented in the IBM quantum computers. Optimized circuits implementable in IBM quantum computers are also obtained for a set of reversible benchmark circuits. With a clear example, it is shown that the reduction in circuit costs enhances the fidelity of the output state (with respect to the theoretically expected state in the absence of noise) as lesser number of gates and levels introduce lesser amount of errors during evolution of the state. Further, considering Mermin inequality as an example, it's shown that the violation of classical limit is enhanced when we use an optimized circuit. Thus, the approach adopted here can be used to identify relatively weaker signature of quantumness and also to establish quantum supremacy in a stronger manner.

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Section: Circuits For the Realization Of Mermin Inequalitymentioning

confidence: 85%

Circuit optimization for IBM processors: A way to get higher fidelity and higher values of nonclassicality witnesses

Sisodia,

Shukla,

de Almeida

et al. 2018

Preprint

View full text Add to dashboard Cite

show abstract

“…Being made up of superconducting transmon qubits, it resolves the scalability issues faced by an NMR based quantum computer [29,30]. This has opened the avenue for checking the efficacy of several algorithms and protocols, e.g., researchers have been successfully implemented a number of applications in quantum information theory using IBM quantum computer [17,25,[31][32][33][34]. Here, we demonstrate the automated error correction for the Bell states.…”

Section: Introductionmentioning

confidence: 99%

Automated error correction in IBM quantum computer and explicit generalization

Ghosh

Agarwal

Pandey

et al. 2018

Quantum Inf Process

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Experimental realization of automated error correction is demonstrated through IBM Quantum Experience for Bell and GHZ states using a measurement based approach upon ancilla qubits. The measurement automatically activates error correcting unitary operations to restore the system to its original entangled state. We illustrate the algorithm for the maximally entangled qudit case by applying appropriate Hadamard and Controlled-NOT gates.

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A method to improve quantum state fidelity in circuits executed on IBM’s quantum computers

et al. 2021

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Recently, various quantum computing and communication tasks have been implemented using IBM's superconductivity-based quantum computers. Here, we show that the circuits used in most of those works were not optimized, and obtain the corresponding optimized circuits. Optimized circuits implementable in IBM quantum computers are also obtained for a set of reversible benchmark circuits. With a clear example, it is shown that the reduction in circuit cost enhances the fidelity of the output state (with respect to the theoretically expected state in the absence of noise) as lesser number of gates and circuit depth introduce lesser amount of errors during evolution of the state. Further, considering Mermin inequality as an example, it is shown that the violation of classical limit is enhanced when we use optimized circuits. Thus, the present approach can be used to identify relatively weaker signature of quantumness and to establish quantum supremacy in a stronger manner.

show abstract

Demonstration of the Quantum No-Hiding Theorem in a Category Theoretic Framework: An IBM Quantum Experience

Cited by 3 publications

References 23 publications

Circuit optimization for IBM processors: A way to get higher fidelity and higher values of nonclassicality witnesses

Circuit optimization for IBM processors: A way to get higher fidelity and higher values of nonclassicality witnesses

Automated error correction in IBM quantum computer and explicit generalization

A method to improve quantum state fidelity in circuits executed on IBM’s quantum computers

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