The paper makes far-reaching assumptions about the quantum-colloid representation of matter as a macrosystem: a microscopic entangled system becomes a boundary macroscopic (for example) oxyhydrate system, that is, a special quantum form of composite correlations, that is, electro-magnetic noise entangled states (entangledstates) of cluster colloid systems. The entanglement of oxyhydrate systems is a special quantum form of correlations of composite systems that does not have a classical analogue. It occurs in a system consisting of two or more interacting subsystems (or interacting previously and then separated), and is a superposition of macroscopically different States. In this case, fluctuations of individual parts are interconnected, but not through classical interactions (correlations), but through non-local quantum correlations. An experimental method is proposed for estimating the size of third clusters of oxyhydrate systems in a dispersion medium, considering entanglement as a special quantum form of correlations of composite systems that does not have a classical analogue. It occurs in a system consisting of two or more interacting subsystems and is a superposition of macroscopically different States. In this case, fluctuations of individual parts are interconnected, but not through classical interactions (correlations), but through non-local quantum correlations.The paper makes far-reaching assumptions about the quantum-colloid representation of matter as a macrosystem: a microscopic entangled system becomes a boundary macroscopic (for example) oxyhydrate system, that is, a special quantum form of composite correlations, that is, electro-magnetic noise entangled states (entangledstates) of cluster colloid systems. The entanglement of oxyhydrate systems is a special quantum form of correlations of composite systems that does not have a classical analogue. It occurs in a system consisting of two or more interacting subsystems (or interacting previously and then separated), and is a superposition of macroscopically different States. In this case, fluctuations of individual parts are interconnected, but not through classical interactions (correlations), but through non-local quantum correlations. An experimental method is proposed for estimating the size of third clusters of oxyhydrate systems in a dispersion medium, considering entanglement as a special quantum form of correlations of composite systems that does not have a classical analogue. It occurs in a system consisting of two or more interacting subsystems and is a superposition of macroscopically different States. In this case, fluctuations of individual parts are interconnected, but not through classical interactions (correlations), but through non-local quantum correlations.

Dec 28, 20220 citations

Einstein-Podolsky-Rosen correlations between mechanical oscillators revealed through SU(1,1) interferometry

Max-Emanuel Kern, Stefano Marti, Raquel Garcia-Belles +5 more

Quantum correlations are essential for achieving quantum advantage in computing, communication and sensing. Moreover, their observation challenges and constrains our fundamental understanding of nature. Mechanical oscillators in the quantum regime provide an appealing platform for preparing and investigating quantum correlations at macroscopic scales. Despite substantial progress, however, continuous-variable quantum correlations stronger than entanglement have not yet been observed in this macroscopic regime. Here, we report the experimental observation of continuous-variable Einstein-Podolsky-Rosen correlations between two spatially-separated mechanical oscillators with an effective mass of $\sim 16 \,μg$ each. This is achieved by coupling them to a superconducting qubit which allows for engineering a two-mode squeezing interaction when parametrically driven. Crucially, we show that this interaction can be used to witness quantum correlations through the realization of a mechanical SU(1,1) interferometer. Our results expand the toolbox of operations in circuit quantum acoustodynamics and demonstrate that quantum correlations stronger than entanglement can also be observed in macroscopic systems, thereby shedding light on the boundary between quantum and classical regimes.Quantum correlations are essential for achieving quantum advantage in computing, communication and sensing. Moreover, their observation challenges and constrains our fundamental understanding of nature. Mechanical oscillators in the quantum regime provide an appealing platform for preparing and investigating quantum correlations at macroscopic scales. Despite substantial progress, however, continuous-variable quantum correlations stronger than entanglement have not yet been observed in this macroscopic regime. Here, we report the experimental observation of continuous-variable Einstein-Podolsky-Rosen correlations between two spatially-separated mechanical oscillators with an effective mass of $\sim 16 \,μg$ each. This is achieved by coupling them to a superconducting qubit which allows for engineering a two-mode squeezing interaction when parametrically driven. Crucially, we show that this interaction can be used to witness quantum correlations through the realization of a mechanical SU(1,1) interferometer. Our results expand the toolbox of operations in circuit quantum acoustodynamics and demonstrate that quantum correlations stronger than entanglement can also be observed in macroscopic systems, thereby shedding light on the boundary between quantum and classical regimes.

quant-pharXiv:2606.18202Jun 17, 20260 citations

The Dynamics of Quantum Correlations of Two Qubits in a Common Environment

E. N. Bratus’, Leonid Andreevich Pastur

Zurnal matematiceskoj fiziki analiza geometriiJun 25, 20200 citations

Observable Correlations in Two-Qubit States

Shunlong Luo, Qiang Zhang

Journal of Statistical PhysicsJul 1, 200941 citations

Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain

Tahereh Abad, Klaus Mølmer, Vahid Karimipour

We study quantum states generated by a sequence of nearest neighbor bipartite entangling operations along a one-dimensional chain of spin qubits. After a single sweep of such a set of operations, the system is effectively described by a matrix product state (MPS) with the same virtual dimension as the spin qubits. We employ the explicit form of the MPS to calculate expectation values and two-site correlation functions of local observables, and we use the results to study fluctuations of collective observables. Through the so-called macroscopicity and the squeezing properties of the collective spin variables they witness the quantum correlations and multiparticle entanglement within the chain. Macroscopicity only occurs over the entire chain if the nearest neighbor interaction is maximally entangling, while a finite, sequential interaction between nearest neighbor particles leads to squeezing of the collective spin.We study quantum states generated by a sequence of nearest neighbor bipartite entangling operations along a one-dimensional chain of spin qubits. After a single sweep of such a set of operations, the system is effectively described by a matrix product state (MPS) with the same virtual dimension as the spin qubits. We employ the explicit form of the MPS to calculate expectation values and two-site correlation functions of local observables, and we use the results to study fluctuations of collective observables. Through the so-called macroscopicity and the squeezing properties of the collective spin variables they witness the quantum correlations and multiparticle entanglement within the chain. Macroscopicity only occurs over the entire chain if the nearest neighbor interaction is maximally entangling, while a finite, sequential interaction between nearest neighbor particles leads to squeezing of the collective spin.

arXiv:1707.09396Physical Review AOct 26, 20173 citations

\sim 16 \,μg

each. This is achieved by coupling them to a superconducting qubit which allows for engineering a two-mode squeezing interaction when parametrically driven. Crucially, we show that this interaction can be used to witness quantum correlations through the realization of a mechanical SU(1,1) interferometer. Our results expand the toolbox of operations in circuit quantum acoustodynamics and demonstrate that quantum correlations stronger than entanglement can also be observed in macroscopic systems, thereby shedding light on the boundary between quantum and classical regimes.