Two-Rebit Entanglement: Theory and Experiment

Sperling, Jan; Prasannan, Nidhin; De, Syamsundar; Barkhofen, Sonja; Brecht, Benjamin; Silberhorn, Christine

doi:10.1364/qim.2021.m2a.5

Cited by 3 publications

(3 citation statements)

References 6 publications

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“…The entanglement properties of rebits have also been investigated [48,70,71]. Recently, the entanglement of two rebits has been investigated in laboratories [72,73]. Redits are qudits with real coefficients.…”

Section: Average Quantum Coherence Of Typical Pure Statesmentioning

confidence: 99%

Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder

et al. 2023

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We consider the average quantum coherences of typical redits and qudits - vectors of real and complex Hilbert spaces - with the analytical forms stemming from the symmetry of Haar-uniformly distributed random pure states. We subsequently study the response to disorder in spread of the typical quantum coherence in response to glassy disorder. The disorder is inserted in the state parameters. Even in the absence of disorder, the quantum coherence distributions of redits and qudits are not uniform over the range of quantum coherence, and the spreads are relatively lower for higher dimensions. On insertion of disorder, the spreads decrease. This decrease in the spread of quantum coherence distribution in response to disorder is seen to be a generic feature of typical pure states: we observe the feature for different strengths of disorder and for various types of disorder distributions, viz. Gaussian, uniform, and Cauchy-Lorentz. We also find that the quantum coherence distributions become less asymmetric with increase in dimension and with infusion of glassy disorder.

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Section: Average Quantum Coherence Of Typical Pure Statesmentioning

confidence: 99%

Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder

et al. 2023

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“…Today, quantum mechanics with imaginary numbers seems to be the most successful theory to describe the microscopic world. These research contributions have shown that complex quantum mechanics is fundamentally different from the corresponding real version in many aspects [2,10,13,15,19,[24][25][26][27][28], revealing that the imaginary part is not only necessary for the formulation of quantum theory but also plays an important role in many quantum information tasks [9,11,29].…”

Section: Introductionmentioning

confidence: 99%

Resource Theory of Imaginarity: New Distributed Scenarios

Wu¹,

Kondra²,

Scandolo³

et al. 2023

Preprint

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The resource theory of imaginarity studies the operational value of imaginary parts in quantum states, operations, and measurements. Here we introduce and study the distillation and conversion of imaginarity in distributed scenario. This arises naturally in bipartite systems where both parties work together to generate the maximum possible imaginarity on one of the subsystems. We give exact solutions to this problem for general qubit states and pure states of arbitrary dimension. We present a scenario that demonstrates the operational advantage of imaginarity: the discrimination of quantum channels without the aid of an ancillary system. We then link this scenario to LOCC discrimination of bipartite states. We experimentally demonstrate the relevant assisted distillation protocol, and show the usefulness of imaginarity in the aforementioned two tasks.

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“…Today, quantum mechanics with imaginary numbers seems to be the most successful theory to describe the microscopic world. These research contributions have shown that complex quantum mechanics is fundamentally different from the corresponding real version in many aspects 2,10,13,15,19,[26][27][28][29][30][31] , revealing that the imaginary part is not only necessary for the formulation of quantum theory but also plays an important role in many quantum information tasks 9,11,32 .…”

mentioning

confidence: 99%

Resource theory of imaginarity in distributed scenarios

Wu,

Kondra,

Scandolo

et al. 2024

Commun Phys

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The resource theory of imaginarity studies the operational value of imaginary parts in quantum states, operations, and measurements. Here we introduce and study the distillation and conversion of imaginarity in distributed scenario. This arises naturally in bipartite systems where both parties work together to generate the maximum possible imaginarity on one of the subsystems. We give exact solutions to this problem for general qubit states and pure states of arbitrary dimension. We present a scenario that demonstrates the operational advantage of imaginarity: the discrimination of quantum channels without the aid of an ancillary system. We then link this scenario to local operations and classical communications(LOCC) discrimination of bipartite states. We experimentally demonstrate the relevant assisted distillation protocol, and show the usefulness of imaginarity in the aforementioned two tasks.

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Two-Rebit Entanglement: Theory and Experiment

Abstract: We characterize entanglement over real and complex, composite quantum systems. Methods are formulated and applied to simultaneously certify inseparability and separability for two rebits and two qubits, respectively.

Cited by 3 publications

References 6 publications

Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder

Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder

Resource Theory of Imaginarity: New Distributed Scenarios

Resource theory of imaginarity in distributed scenarios

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