The learnability of pauli noise
SpletSpecifically, we present a depth-modulated randomized measurement scheme that interpolates between two known classical shadows schemes based on random Pauli measurements and random Clifford measurements. These can be seen within our scheme as the special cases of zero and infinite depth, respectively. SpletHere we give a precise characterization of the learnability of Pauli noise channels attached to Clifford gates using graph theoretical tools. Our results reveal the optimality of cycle benchmarking in the sense that it can extract all learnable information about Pauli noise. We experimentally demonstrate noise characterization of IBM's CNOT ...
The learnability of pauli noise
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Splet01. okt. 2024 · في الآونة الأخيرة ، تم تطوير العديد من خوارزميات القياس الكمي لتوصيف البوابات الكمومية المزعجة على الأجهزة الكمومية الحالية. SpletWe show that when the teacher may make independent random errors in classifying the example data, the strategy of selecting the most consistent rule for the sample is sufficient, and usually requires a feasibly small number of examples, provided noise affects less than half the examples on average.
SpletIs it impossible to learn #quantum gate noise precisely? Tune in for no-go and go theorems from Senrui Chen @CSenrui from Liang Jiang group @UChicagoPME and myself to discuss live at 12 PM ET ... SpletThisimplies the optimality of cycle benchmarking, in the sense that it can learnall learnable information about Pauli noise. We experimentally demonstratenoise characterization of IBM's CNOT gate up to 2 unlearnable degrees offreedom, for which we obtain bounds using physical constraints. ... The learnability of Pauli noise
SpletHere we give a precise characterization of the learnability of Pauli noise channels attached to Clifford gates using graph theoretical tools. Our results reveal the optimality of cycle … Splet22. mar. 2024 · Abstract. We show that entangled measurements provide an exponential advantage in sample complexity for Pauli channel estimation, which is both a fundamental problem and a practically important subroutine for benchmarking near-term quantum devices. The specific task we consider is to simultaneously learn all the eigenvalues of …
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We start by considering the learnability of the Pauli noise channel of a single n-qubit Clifford gate. A Pauli channel can be written as where {pa} is a probability distribution on Pn = {I, X, Y, Z}n. The goal is to learn this distribution, which has 4n − 1 degrees of freedom. Considering Λ as a linear map, its … Prikaži več Given an n-qubit Clifford gate \({{{{{{{\mathcal{G}}}}}}}}\) and an n-qubit Pauli operator Pa, the Pauli fidelity λa of the noise channel attached to … Prikaži več The vector space of learnable functions of the Pauli noise channels associated with an n-qubit Clifford gate set is equivalent to the cycle space of the pattern … Prikaži več We demonstrate our theory on IBM quantum hardware24using a minimal example – characterizing the noise channel of a CNOT gate. In our experiments … Prikaži več free online healthcare management coursesSpletHere we give a precise characterization of the learnability of Pauli noise channels attached to Clifford gates, showing that learnable information corresponds to the cycle space of … farm credit services miles city mtSpletSUSTech Library Media Center. 帮助. 分类导航. 学科. A马恩列斯毛邓理论; B哲学、宗教 free online health textbooksSpletHere, we give a precise characterization of the learnability of Pauli noise associated with Clifford gates using graph theoretical tools, showing the learnable information … farm credit services newton iowaSplet09. mar. 2024 · We experimentally demonstrate Pauli noise characterization of IBM’s CNOT gate, where we learn all 14 learnable degrees of freedom and bound the 2 unlearnable … farm credit services nebraskaSplet13. jun. 2024 · It is shown that a noisy quantum computer that performs entangled measurements on multiple copies of an unknown state can yield a large advantage in learning properties of the state compared to a noiseless device that measures individual copies and then processes the measurement data using a classical computer. 7 PDF farm credit services norfolk neSplet01. okt. 2024 · Recently, several quantum benchmarking algorithms have been developed to characterize noisy quantum gates on today’s quantum devices. A fundamental issue for … free online health insurance quote