The power of noisy quantum states and the advantage of resource dilution
- URL: http://arxiv.org/abs/2210.14192v2
- Date: Mon, 3 Jul 2023 13:08:44 GMT
- Title: The power of noisy quantum states and the advantage of resource dilution
- Authors: Marek Miller, Manfredi Scalici, Marco Fellous Asiani, Alexander
Streltsov
- Abstract summary: Entanglement distillation allows to convert noisy quantum states into singlets.
We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entanglement distillation allows to convert noisy quantum states into
singlets, which can in turn be used for various quantum technological tasks,
such as quantum teleportation and quantum key distribution. Entanglement
dilution is the inverse process: singlets are converted into quantum states
with less entanglement. While the usefulness of distillation is apparent,
practical applications of entanglement dilution are less obvious. Here, we show
that entanglement dilution can increase the resilience of shared quantum states
to local noise. The increased resilience is observed even if diluting singlets
into states with arbitrarily little entanglement. We extend our analysis to
other quantum resource theories, such as quantum coherence, quantum
thermodynamics, and purity. For these resource theories, we demonstrate that
diluting pure quantum states into noisy ones can be advantageous for protecting
the system from noise. Our results demonstrate the usefulness of quantum
resource dilution, and provide a rare example for an advantage of noisy quantum
states over pure states in quantum information processing.
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