References & Citations
Quantum Physics
Title: Characteristics, Implementation and Applications of Special Perfect Entangler Circuits
(Submitted on 24 Jul 2023 (v1), last revised 27 Mar 2024 (this version, v4))
Abstract: We discuss the characteristics of special perfect entanglers and construct single parameter two-qubit circuits which are locally equivalent to special perfect entanglers. We present the results obtained from the implementation of one of the circuits using cross-resonance interaction and discuss their applications. First, we show that the ability of two-qubit gates to create entangled states can be described using the chords present in the argand diagram of squared eigenvalues of nonlocal part of two-qubit gates. We show that the entangling power of a two-qubit gate is proportional to the mean squared length of the chords. We deduce the entangling characteristics of special perfect entanglers from the argand diagram associated with them. We implement a special perfect entangler circuit using echoed cross-resonance gate and pulse-level programming for nine different circuit parameters. For a particular input state, we perform quantum state tomography and calculate state fidelity and concurrence of the obtained output density matrices. We also measure the average gate fidelity for B gate circuit. We construct two universal two-qubit quantum circuits using the special perfect entangler circuits. These universal circuits can be used to generate all two-qubit gates. We show that (n-1) B gate circuits can be used to generate n-qubit GHZ and perfect W states. We generate three-qubit perfect W state. Perfect W state generated using pulse-level programming shows better fidelity than the state generated using echoed cross-resonance gate.
Submission history
From: M. Karthick Selvan [view email][v1] Mon, 24 Jul 2023 08:19:39 GMT (957kb,D)
[v2] Sat, 30 Sep 2023 07:07:00 GMT (1025kb,D)
[v3] Fri, 26 Jan 2024 04:45:49 GMT (1005kb,D)
[v4] Wed, 27 Mar 2024 13:13:02 GMT (1391kb,D)
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