Efficient Quantum Algorithms for GHZ and W States, and Implementation on the IBM Quantum Computer. Issue 5 (23rd April 2019)

• Record Type: Journal Article
• Authors: Cruz, Diogo; Fournier, Romain; Gremion, Fabien; Jeannerot, Alix; Komagata, Kenichi; Tosic, Tara; Thiesbrummel, Jarla; Chan, Chun Lam; Macris, Nicolas; Dupertuis, Marc‐André; Javerzac‐Galy, Clément
• Is Part Of: Advanced quantum technologies. Volume 2:Issue 5/6(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-04-23
• Subjects: efficient algorithm -- GHZ states -- multipartite entanglement -- quantum computer -- quantum networks; Quantum theory -- Periodicals; Quantum computing -- Periodicals; Quantum chemistry -- Periodicals; Quantum electronics -- Periodicals; 537.5
• DOI: 10.1002/qute.201900015
• Languages: English
• ISSNs: 2511-9044

Abstract

Abstract: Efficient deterministic algorithms are proposed with logarithmic step complexities for the generation of entangled GHZ N and W N states useful for quantum networks, and an implementation on the IBM quantum computer up to N = 16 is demonstrated. Improved quality is then investigated using full quantum tomography for low‐ N GHZ and W states. This is completed by parity oscillations and histogram distance for large‐ N GHZ and W states, respectively. Robust states are built with about twice the number of quantum bits which were previously achieved. Abstract : Entangled GHZ N and W N quantum states can be efficiently and deterministically generated on the IBM quantum computer with 16 qbits up to N = 16 . The proposed scheme features logarithmic step complexities. Resulting improved quality is then characterized using full quantum tomography for low‐ N, while parity oscillations and histogram distance are used for large N values.