Every time you buy something online, sensitive information such as your credit-card number is sent to a merchant. To prevent this information from being obtained by a hacker, it is necessary to ‘lock’ it before sending it.
Then, if the merchant has a ‘key’ corresponding to the one that was used to lock your information, they can unlock it. But how can these keys be distributed in a secure way, so that only you and the merchant have them? In two papers in
It also provides clues to the duality of our universe, the paradoxical nature of quanta is resolved by a virtual context, virtual abstract! There are no spatial properties required in a virtual context, only upon abstraction are they apparent.
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Probing Geometric Excitations of Fractional Quantum Hall States on Quantum ComputersIntermediate-scale quantum technologies provide new opportunities for scientific discovery, yet they also pose the challenge of identifying suitable problems that can take advantage of such devices in spite of their present-day limitations. In solid-state materials, fractional quantum Hall phases continue to attract attention as hosts of emergent geometrical excitations analogous to gravitons, resulting from the nonperturbative interactions between the electrons. However, the direct observation of such excitations remains a challenge. Here, we identify a quasi-one-dimensional model that captures the geometric properties and graviton dynamics of fractional quantum Hall states. We then simulate geometric quench and the subsequent graviton dynamics on the IBM quantum computer using an optimally compiled Trotter circuit with bespoke error mitigation. Moreover, we develop an efficient, optimal-control-based variational quantum algorithm that can efficiently simulate graviton dynamics in larger systems. Our results open a new avenue for studying the emergence of gravitons in a new class of tractable models on the existing quantum hardware. PhysRevLett Roots of logarithms co sin angle side number 🤞
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