An Energetic Constraint for Qubit-Qubit Entanglement

Fuente: arXiv
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Main Authors: Laverick, Kiarn T., Prasad, Samyak P., Senellart, Pascale, Maffei, Maria, Auffèves, Alexia
Format: Preprint
Published: 2026
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author Laverick, Kiarn T.
Prasad, Samyak P.
Senellart, Pascale
Maffei, Maria
Auffèves, Alexia
author_facet Laverick, Kiarn T.
Prasad, Samyak P.
Senellart, Pascale
Maffei, Maria
Auffèves, Alexia
contents We analyze qubit-qubit entanglement from an energetic perspective and reveal an energetic trade-off between quantum coherence and entanglement. We decompose each qubit internal energy into a coherent and an incoherent component. The qubits' coherent energies are maximal if the qubit-qubit state is pure and separable. They decrease as qubit-qubit entanglement builds up under locally-energy-preserving processes. This yields a ``coherent energy deficit'' that we show is proportional to a well-known measure of entanglement, the square concurrence. In general, a qubit-qubit state can always be represented as a mixture of pure states. Then, the coherent energy deficit splits into a quantum component, corresponding to the average square concurrence of the pure states, and a classical one reflecting the mixedness of the joint state. Minimizing the quantum deficit over the possible pure state decompositions yields the square concurrence of the mixture. Our findings bring out new figures of merit to optimize and secure entanglement generation and distribution under energetic constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2603_16225
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle An Energetic Constraint for Qubit-Qubit Entanglement
Laverick, Kiarn T.
Prasad, Samyak P.
Senellart, Pascale
Maffei, Maria
Auffèves, Alexia
Quantum Physics
We analyze qubit-qubit entanglement from an energetic perspective and reveal an energetic trade-off between quantum coherence and entanglement. We decompose each qubit internal energy into a coherent and an incoherent component. The qubits' coherent energies are maximal if the qubit-qubit state is pure and separable. They decrease as qubit-qubit entanglement builds up under locally-energy-preserving processes. This yields a ``coherent energy deficit'' that we show is proportional to a well-known measure of entanglement, the square concurrence. In general, a qubit-qubit state can always be represented as a mixture of pure states. Then, the coherent energy deficit splits into a quantum component, corresponding to the average square concurrence of the pure states, and a classical one reflecting the mixedness of the joint state. Minimizing the quantum deficit over the possible pure state decompositions yields the square concurrence of the mixture. Our findings bring out new figures of merit to optimize and secure entanglement generation and distribution under energetic constraints.
title An Energetic Constraint for Qubit-Qubit Entanglement
topic Quantum Physics
url https://arxiv.org/abs/2603.16225