Table of Integrals, Series and Products 571 (Academic Press, 2014). Nearly optimal multiuser codes for the binary adder channel. How many principles does it take to change a light bulb … into a laser? Phys. Tradeoff between extractable mechanical work, accessible entanglement, and ability to act as a reference system, under arbitrary superselection rules. Colloquium: quantum coherence as a resource. Simulating quantum light propagation through atomic ensembles using matrix product states. Matrix product states for quantum metrology. Sequential generation of matrix-product states in cavity qed. Sequential generation of entangled multiqubit states. Schön, C., Solano, E., Verstraete, F., Cirac, J. Realistic quantum states of light with minimum phase uncertainty. Quantum Measurement and Control (Cambridge Univ. Quantum-limited frequency fluctuations in a terahertz laser. (eds) Laser Physics (Addison-Wesley, 1974). Quantum Statistical Properties of Radiation (Wiley, 1973). When atoms behave as waves: Bose–Einstein condensation and the atom laser. Prospects for a millihertz-linewidth laser. The density-matrix renormalization group in the age of matrix product states. A practical introduction to tensor networks: matrix product states and projected entangled pair states. Infinite size density matrix renormalization group, revisited. Reference frames, superselection rules, and quantum information. Entanglement constrained by superselection rules. Deterministic teleportation of a quantum gate between two logical qubits. Real-time quantum feedback prepares and stabilizes photon number states. Stochastic Heisenberg limit: optimal estimation of a fluctuating phase. Quantum-mechanical noise in an interferometer. Quantum-enhanced measurements: beating the standard quantum limit. From cavity to circuit quantum electrodynamics. Perez-Garcia, D., Verstraete, F., Wolf, M. Light amplification without stimulated emission: beyond the standard quantum limit to the laser linewidth. Statistical Methods in Quantum Optics 1 (Springer, 1999). 18 proposed another elegant relation to characterise the new wave-particle-like duality based on the coherence \(C^\), we can observe full complementarity between quantum coherence and path information.McClung, F. Based on the fringe visibility V of the interference pattern and the path distinguishability D, a wave-particle duality relation is given by V 2 + D 2 ≤ 1, which means that full wave-behaviour ( V = 1) implies no particle behaviour ( D = 0) and vice-versa. Quantitative characterisations of such wave-particle duality relations have been extensively investigated, aiming to set an upper bound on the sum of the wave behaviour and the particle behaviour for a given interferometer 3, 4. The development of quantum technologies demands a reassessment of fundamental resources such as quantum coherence, including relations with other quantum physical phenomena and rigorous quantitative description 10, 11, 12, 13, 14, 15, 16, 17.Īmong these quantum physical phenomena, wave-particle duality has been a unified picture to fully describe the behaviour of quantum-scale objects. Quantum entanglement is found to have strong connection with coherence 6, 7, 8 and may even originate from it 9. Carrying out general quantum operations remotely under local operations and classical communication requires quantum states that contain consumable resources. Together with the energy quantisation, a quantum version of coherence has become one of the most fundamental features that can mark the departure of quantum mechanics from the classical realm 1, 2, 3, 4, 5. Our results may shed new light on the original nature of wave-particle duality and on the applications of quantum coherence as a fundamental resource in quantum technologies.Ĭoherence was recognised early as a superposition of optical fields in the theory of electromagnetic waves. We observe that wave-particle-like complementarity and Bagan’s equality, defined by the duality relation between coherence and path information, is well satisfied. We prepare three classes of two-photon states encoded in polarisation degree of freedom, with one photon serving as the target and the other photon as the detector. Here, we experimentally test such new duality by l 1-norm measure and the minimum-error state discrimination. Recently, an elegant relation between quantum coherence and path information has been theoretically derived. The wave-particle duality phenomenon, which shares the same origin, has a strong relationship with quantum coherence. Quantum coherence stemming from the superposition behaviour of a particle beyond the classical realm, serves as one of the most fundamental features in quantum mechanics.
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