id stringlengths 36 36 | question stringlengths 658 6.59k | rubric stringlengths 834 21.5k | subject stringclasses 3
values | responses listlengths 4 4 |
|---|---|---|---|---|
222e24bf-14d4-4660-a5dd-01b2b3528cfa | "Context: Weak value amplification is an enhanced detection scheme that was first suggested by Aharo(...TRUNCATED) | "Points: 1.5, Item: Background Theory - Qualitatively describes the procedure of Weak Value Amplific(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"# Improved Weak Value Amplification Protocol with Quantum Resou(...TRUNCATED) |
d3acd2cb-8477-4630-b8bb-b4bc22670dc8 | "Context: For few-body system problems, a typical problem is to find the energy spectrum of a given (...TRUNCATED) | "Points: 1.0, Item: Correctly identify that there are three spin-singlet states since we are working(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"The problem asks us to analyze a non-relativistic lattice Hamil(...TRUNCATED) |
bc82c611-4407-4da9-8444-48dbf08d0bbf | "Context: Weak value amplification (WVA) is an approach to amplifying physical quantities through a (...TRUNCATED) | "Points: 1.0, Item: Describes the time evolution of the unstable particle's state and computes the (...TRUNCATED) | physics | [{"finish_reason":"stop","response":"# Weak Value Amplification for Unstable Particle Lifetime Exten(...TRUNCATED) |
1a5d24e0-9af4-4b36-98d1-2845df696d90 | "Context: The Mach-Zehnder Interferometer is a critical tool in quantum metrology, allowing for phas(...TRUNCATED) | "Points: 1.0, Item: Alternative Protocol Using Dual Fock States. Assign points as follows:\n\n- **(0(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"## Comprehensive Solution: Infinite QFI with Finite Average Pho(...TRUNCATED) |
790baca4-d2d8-4acb-8494-91adf77e026b | "Context: This is a long and difficult problem and one of the forefront topics of research in the fi(...TRUNCATED) | "Points: 1.0, Item: Derives the relation describing the ratio of the time that a comet spends within(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"# Stellar Encounters and Comet Showers on Earth: A Quantitative(...TRUNCATED) |
8fac71ae-1f4a-4edd-9f0d-88a443912a04 | "Context: The observation of neutrinos from SN1987A (Hirata et al. 1987; Bionta et al. 1987; Alexeye(...TRUNCATED) | "Points: 1.0, Item: The solution to question 1 should mention that neutrinos allow us to search for (...TRUNCATED) | physics | [{"finish_reason":"stop","response":"# Comprehensive Analysis of Super-Kamiokande Supernova Neutrino(...TRUNCATED) |
af50243e-3a60-4460-9536-f9a02c4f8eb8 | "Context: Generalized (or weakened) quantum measurements introduce qualitatively new features in fun(...TRUNCATED) | "Points: 0.5, Item: Defines the measurement operator \\\\( \\\\hat{\\\\cal M}\\_{\\\\delta t} = (\\\(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"# Comprehensive Framework for Stochastic Path Integrals in Cont(...TRUNCATED) |
1c77dfab-266d-40d4-b3a0-2c27f0b32139 | "Context: In the cosmic microwave background (CMB) parameter inference process, angular power spectr(...TRUNCATED) | "Points: 1.0, Item: Mentions preprocessing training data for emulators using the logarithm or PCA.\n(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"## Accelerated CMB Cosmological Parameter Inference: A First-Pr(...TRUNCATED) |
07fd78cd-81de-4a62-9952-369093ec303f | "Context: Conventional unitary inversion can operate imprecisely and require substantial resources. (...TRUNCATED) | "Points: 1.0, Item: Shows that the \\\\( \\\\ket{\\\\psi} \\\\) state is teleported onto the qudit o(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"# Probabilistic Protocol for Exact Unitary Inversion\n\n## Prot(...TRUNCATED) |
d50f3722-14fb-485a-a417-ed6ae79f3c07 | "Context: Deriving the effective Hamiltonian for a Hilbert subspace.\nQuestion: Consider the system (...TRUNCATED) | "Points: 1.0, Item: Correctly shows the Heisenberg equations derived from the Hamiltonian\\\n\\\\(\\(...TRUNCATED) | physics | [{"finish_reason":"stop","response":"Based on my analysis, yes, it is possible to effectively elimin(...TRUNCATED) |
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