Characteristics, Implementation and Applications of Special Perfect Entangler Circuits

• URL: http://arxiv.org/abs/2307.12599v4
• Date: Wed, 27 Mar 2024 13:13:02 GMT
• Title: Characteristics, Implementation and Applications of Special Perfect Entangler Circuits
• Authors: M. Karthick Selvan, S. Balakrishnan,
• Abstract summary: We show the ability of two-qubit gates to create entangled states using the chords present in the argand diagram of squared eigenvalues of nonlocal part of two-qubit gates. We construct two universal two-qubit quantum circuits using the special perfect entangler circuits.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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