Expressibility, entangling power and quantum average causal effect for causally indefinite circuits - INSPIRE

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Expressibility, entangling power and quantum average causal effect for causally indefinite circuits

Pedro C. Azado
(
- Sao Paulo U., Sao Carlos and
- Intl. Iberian Nanotech. Lab.
)
,
Guilherme I. Correr
(
)
,
Alexandre Drinko
(
- Sao Paulo U., Sao Carlos
)
,
Ivan Medina
(
- Sao Paulo U., Sao Carlos and
- Trinity Coll., Dublin
)
,
Askery Canabarro
(
- Sao Paulo U., Sao Carlos and
- Lisbon, IFM and
- Alagoas U. and
- Harvard U. and
- Technol. Innovation Inst., UAE
)

Nov 13, 2024

10 pages

e-Print:

2411.08609 [quant-ph]

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Abstract: (arXiv)

Parameterized quantum circuits are the core of new technologies such as variational quantum algorithms and quantum machine learning, which makes studying its properties a valuable task. We implement parameterized circuits with definite and indefinite causal order and compare their performance under particular descriptors. One of these is the expressibility, which measures how uniformly a given quantum circuit can reach the whole Hilbert space. Another property that we focus on this work is the entanglement capability, more specifically the concurrence and the entangling power. We also find the causal relation between the qubits of our system with the quantum average causal effect measure. We have found that indefinite circuits offer expressibility advantages over definite ones while maintaining the level of entanglement generation. Our results also point to the existence of a correlation between the quantum average causal effect and the entangling power.

Note:

10 pages, 5 figures

References(62)

Figures(5)

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