Experimental Implementation of Adiabatic Passage between Different Topological Orders

Peng, Xinhua; Luo, Zhiyong; Zheng, Wenqiang; Kou, Su-Peng; Suter, Dieter; Du, Jiangfeng

doi:10.1103/physrevlett.113.080404

Cited by 30 publications

(28 citation statements)

References 50 publications

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“…Note added.-After finishing this work, we notice a related work [40], where OTOCs are measured in a trapped ion quantum magnet. 13 We use Iodotrifluroethylene dissolved in dchloroform [41].…”

Section: Acknowledgmentsmentioning

confidence: 99%

Measuring Out-of-Time-Order Correlators on a Nuclear Magnetic Resonance Quantum Simulator

et al. 2017

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The idea of the out-of-time-order correlator (OTOC) has recently emerged in the study of both condensed matter systems and gravitational systems. It not only plays a key role in investigating the holographic duality between a strongly interacting quantum system and a gravitational system, but also diagnoses the chaotic behavior of many-body quantum systems and characterizes the information scrambling. Based on the OTOCs, three different concepts -quantum chaos, holographic duality, and information scrambling -are found to be intimately related to each other. Despite of its theoretical importance, the experimental measurement of the OTOC is quite challenging and so far there is no experimental measurement of the OTOC for local operators. Here we report the measurement of OTOCs of local operators for an Ising spin chain on a nuclear magnetic resonance quantum simulator. We observe that the OTOC behaves differently in the integrable and non-integrable cases. Based on the recent discovered relationship between OTOCs and the growth of entanglement entropy in the many-body system, we extract the entanglement entropy from the measured OTOCs, which clearly shows that the information entropy oscillates in time for integrable models and scrambles for non-intgrable models. With the measured OTOCs, we also obtain the experimental result of the butterfly velocity, which measures the speed of correlation propagation. Our experiment paves a way for experimentally studying quantum chaos, holographic duality, and information scrambling in many-body quantum systems with quantum simulators.Recent studies also reveal that the OTOC can be applied to study physical properties beyond chaotic systems. The decay of the OTOC is closely related to the delocalization of information and implies the informationtheoretic definition of scrambling. In the high tem-arXiv:1609.01246v3 [cond-mat.str-el]

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Section: Acknowledgmentsmentioning

confidence: 99%

Measuring Out-of-Time-Order Correlators on a Nuclear Magnetic Resonance Quantum Simulator

et al. 2017

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“…(4), where the auxiliary registers for matrix inversion are not shown. In the experiment, the information of the ancillary qubit is transferred to the 13C spin by a sw ap gate and then is read out through the 13C spectrum [29], If the corresponding peak in the 13C spectrum is upward [e.g., as in Fig. 4(a)], the classification result will be positive, which means the character recognition result is 6.…”

Section: )mentioning

confidence: 99%

Experimental Realization of a Quantum Support Vector Machine

et al. 2015

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The fundamental principle of artificial intelligence is the ability of machines to learn from previous experience and do future work accordingly. In the age of big data, classical learning machines often require huge computational resources in many practical cases. Quantum machine learning algorithms, on the other hand, could be exponentially faster than their classical counterparts by utilizing quantum parallelism. Here, we demonstrate a quantum machine learning algorithm to implement handwriting recognition on a four-qubit NMR test bench. The quantum machine learns standard character fonts and then recognizes handwritten characters from a set with two candidates. Because of the wide spread importance of artificial intelligence and its tremendous consumption of computational resources, quantum speedup would be extremely attractive against the challenges of big data.

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“…However, because there are tens of thousands of cycles before completing the energy transfer, the accumulated error might be significant so that the simulation becomes unreliable. To avoid this problem, we utilize the gradient ascent pulse engineering (GRAPE) algorithm, 25 which has been successfully applied to a number of quantum simulations in NMR, 23,26,27 to mimic the quantum dynamics of light harvesting. Before studying the population dynamics, we shall explore the characteristics of the artificially injected noise.…”

Section: Resultsmentioning

confidence: 99%

Efficient quantum simulation of photosynthetic light harvesting

Wang¹,

Tao²,

Ai³

et al. 2018

npj Quantum Inf

111

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Near-unity energy transfer efficiency has been widely observed in natural photosynthetic complexes. This phenomenon has attracted broad interest from different fields, such as physics, biology, chemistry, and material science, as it may offer valuable insights into efficient solar-energy harvesting. Recently, quantum coherent effects have been discovered in photosynthetic light harvesting, and their potential role on energy transfer has seen the heated debate. Here, we perform an experimental quantum simulation of photosynthetic energy transfer using nuclear magnetic resonance (NMR). We show that an N-chromophore photosynthetic complex, with arbitrary structure and bath spectral density, can be effectively simulated by a system with log 2 N qubits. The computational cost of simulating such a system with a theoretical tool, like the hierarchical equation of motion, which is exponential in N, can be potentially reduced to requiring a just polynomial number of qubits N using NMR quantum simulation. The benefits of performing such quantum simulation in NMR are even greater when the spectral density is complex, as in natural photosynthetic complexes. These findings may shed light on quantum coherence in energy transfer and help to provide design principles for efficient artificial light harvesting.

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Experimental Implementation of Adiabatic Passage between Different Topological Orders

Cited by 30 publications

References 50 publications

Measuring Out-of-Time-Order Correlators on a Nuclear Magnetic Resonance Quantum Simulator

Measuring Out-of-Time-Order Correlators on a Nuclear Magnetic Resonance Quantum Simulator

Experimental Realization of a Quantum Support Vector Machine

Efficient quantum simulation of photosynthetic light harvesting

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