Resource Theory of Imaginarity: New Distributed Scenarios

Abstract

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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Cited by in corpus (18)

• Unitary-invariant witnesses of quantum imaginarity
• Nonlocal Advantages of Quantum Imaginarity
• Geometric-Like imaginarity: quantification and state conversion
• Coherence and imaginarity of quantum states
• Expectation value dynamics within real Hilbert space quantum mechanics
• Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks
• Two imaginarity monotones induced by unified $(\alpha ,\beta )$-relative entropy
• Catalytic Transformation from Computationally Universal to Strictly Universal Measurement-Based Quantum Computation
• Quantum-imaginarity-based quantum speed limit
• Imaginarity measures induced by relative entropy
• Choi-Defined Resource Theories
• Real randomized measurements for analyzing properties of quantum states
• Analyzing the free states of one quantum resource theory as resource states of another
• Off-resonant preservation and generation of imaginarity in distributed scenarios
• The detection power of real entanglement witnesses under local unitary equivalence
• Deformed angular momentum algebra within the real Hilbert space
• Measure of set imaginarity
• Imaginarity as a Resource within Quantum Coherence: Geometric Decomposition and Operational Conversion