by Thamarasee Jeewandara

Assessing physical realism experimentally in a quantum-regulated device
Schematic circuits of quantum controlled interferometers. The blue boxes represent unitary operations which here play the role of superposition devices—the quantum network equivalent of a beam-splitter. Using an ancillary qubit in superposition (quantum control system), we implement the quantumly controlled unitary superposition device (represented by the red boxes). a Original version of the quantum delayed-choice experiment, where the second beam-splitter is prepared in a coherent superposition of being in and out of the interferometer (configurations closed and open, respectively). b Our proposal for a quantum controlled reality experiment. Here, the first beam-splitter is submitted to quantum control. Although the measurement outcomes yield the same visibility in both of these experimental arrangements, the realism aspects inside the interferometer are crucially different. Credit: Communications Physics (2022). DOI: 10.1038/s42005-022-00828-z

A new framework of operational criterion for physical reality was developed by Pedro R. Dieguez and an international team of scientists in quantum technologies, functional quantum systems and quantum physics. They were able to understand a quantum system directly via the quantum state at each instance of time. The team established a link between the output visibility and reality within an interferometer. The team provided an experimental proof-of-principle for a two-spin system. The outcomes confirmed the original idea of the complementarity principle.

The physics is said to be by Niels Bohr.

The complementarity principle states that matter and radiation can be submitted to a unifying framework where either element can behave as a wave or a particle. The nature of individuality of quantum systems is discussed in relation to the definite arrangement of whole experiments. A decade ago, physicists designed a quantum delayed choice experiment with a beam splitter in spatial quantum superposition to render the interferometer to have a closed configuration. Researchers tested the idea of a wave-like or particle-like behavior if a target system is coupled to a quantum regulator. Physicists claim to have the ability to smoothly interpolate the statistics between a wave and particle-like pattern.

Assessing physical realism experimentally in a quantum-regulated device
Wave and Particle Realism as a function of the Visibility. The green diamonds and dark red triangles are the measured RW (wave realism) and RP (particle realism), respectively, inside of the interferometer with the arrangement (quantum delayed-choice experiment). The blue squares and red circles are the measured RW and RP, respectively, inside of the interferometer (quantum-controlled reality experiment). The symbols represent the experimental results and the dashed lines are numerical calculations that simulate the pulse sequences on the initial experimental state. The data is parametrized by the visibility at the end of the interferometer. The error bars were estimated via Monte Carlo propagation. The error bars for data represented as green diamonds are smaller than the symbols. Credit: Communications Physics (2022). DOI: 10.1038/s42005-022-00828-z
The strategy

At first, Dieguez et al used an operational quantifier of realism to allow meaningful which-path statements. There were no connections between visibility at the output with wave and particle elements relative to the criterion of realism. The scientists proposed a setup to establish a link between the visibility and wave elements of reality within the interferometer and showed the relevance of quantum correlations to wave-particle duality.

The quantum delayed-choice experiment hastextual realism.

The elements of reality in the present experimental system were used by Dieguez et al to re-assess the QDCE. To implement a relative phase between the paths traveled by the qubit, they added a qubit as a particle-like state after passing the first superposition device or beam-splitter. The team used the final superposition device to observe the transformation of the state into a wave-like state. The path that the qubit traveled in the interferometer was inferred from the statistics at the output of the circuit. They computed the realism in the circuit and proposed a framework to discuss the elements of reality for the wave-particle behavior in a quantum-controlled interference device. The results showed how particle-like states correspond to reality. They noted how the qubit always behaved as a wave inside the interferometer in an experimental approach, to demonstrate how the physical reality can be determined by the quantum state at every instant of time.

Assessing physical realism experimentally in a quantum-regulated device
Probability pattern at the end of the interferometer (p0) as function of the interference parameter (α) and the phase shifter (θ). (a) For quantum controlled delayed choice scenario. (b) For quantum controlled realism scenario. (c) Visibility (V) of the interferometer in the quantum controlled realism scenario. The symbols represent the experimental results and the (solid and dashed) lines numerical simulations. The error bars were estimated via Monte Carlo propagation. In panels a, b, the error bar is smaller than the symbols. Credit: Communications Physics (2022). DOI: 10.1038/s42005-022-00828-z
Quantum-controlled reality experiment (QCRE)

An experiment to solve existing issues of the preceding setup and to effectively superpose wave and particle elements of reality was proposed by the team. When qubits traveled inside the interferometer after the phase shift, they computed the states of the whole system. The interference device put the qubit in a position that implied a wave reality. When the QCRE setup was changed, the qubit kept traveling its original path as a particle, showing a difference to the original QDCE setup. The physicists noted that the wave-like behavior inside the interferometer was the same as the output statistics. The outcomes were in line with the original idea of the complementarity principle.

Assessing physical realism experimentally in a quantum-regulated device
Pulse sequence for the initial state preparation. The blue (orange) boxes represent x (y) local rotations by the angles indicated inside. These rotations are produced by a transverse rf-field resonant with either 1H or 13C nuclei, with phase, amplitude, and time duration properly adjusted. The black dashed boxes with connections represent free time evolution under the scalar coupling of both spins. The boxes with a gray gradient represent magnetic field gradients, with longitudinal orientations aligned with the spectrometer cylindrical symmetry axis. All the control parameters are optimized to build an initial pseudo-pure state equivalent to ρ=|00⟩⟨00| with high fidelity (≿0.99). Credit: Communications Physics (2022). DOI: 10.1038/s42005-022-00828-z

Proof-of-principle.

The scientists next implemented these ideas in a proof-of-principle experiment using a liquid-state nuclear magnetic resonance setup with two spin ½ qubits in a sample of 13- C labeled chloroform. The 13 C nuclear spin was used to investigate the realism, wave and particle features of 1 H nuclear spin, which encompassed the interferometric paths. The team only regulated 1 H and 13 C nuclei. The interferometric pattern was observed using the cell spin ½ quantum controlled interferometric protocols.

Assessing physical realism experimentally in a quantum-regulated device
Pulse sequences for the two interferometric scenarios. (a) Sequence for the original version of quantum delayed-choice experiment (QDCE). For the sake of optimization, the first superposition operation and the phase shifter were implemented by two rotations (rotations θ and −π2). The quantum-controlled interference was performed using local operations on the system (1H) and on the controller (13C), as well as two free evolution under the scalar coupling. (b) Pulse sequence for the quantum-controlled reality experiment (QCRE), where the quantum-controlled interference appears as the first operation followed by the phase shifter and the interference operation. The most relevant contributions to the total time duration of each experiment are the free evolution, so both pulse sequences last approximately the same time (≈14 ms). Credit: Communications Physics (2022). DOI: 10.1038/s42005-022-00828-z

Outlook.

Pedro R. Dieguez and colleagues used wave and particle terms to discuss the behavior of a quantum system traversing a double-path setup. The scientists noted that the output visibility did not tell a specific story about qubit behavior inside the circuit. The team then introduced a quantum-controlled reality experiment (QCRE), an arrangement where the original formation of Bohr's complementarity principle could be afforded, where unlike with QDCE, Dieguez et al regulated the wave particle elements.

More information: Pedro R. Dieguez et al, Experimental assessment of physical realism in a quantum-controlled device, Communications Physics (2022). DOI: 10.1038/s42005-022-00828-z

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Journal information: Communications Physics , Nature Photonics

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