Two new research papers, one from arXiv and another highlighted by Hugging Face, have established tight lower bounds for quantum state tomography. These studies focus on scenarios where measurements are limited to acting on a small number of quantum copies, specifically at most $k$ fresh copies. The findings indicate that the copy complexity for estimating a $d$-dimensional state to a trace distance $\epsilon$ is approximately $\max\{d^3/(\sqrt{k}\epsilon^2), d^2/\epsilon^2\}$. This work refines previous understanding by removing restrictions on the size of $k$ relative to accuracy and provides a more precise complexity for low-rank quantum state tomography, showing that joint measurements on up to $t$ samples can improve complexity by a factor of $\sqrt{t}$. AI
IMPACT Establishes theoretical complexity bounds for quantum state tomography, potentially influencing future quantum computing algorithms and error correction research.
RANK_REASON The cluster contains two academic papers detailing theoretical research findings in quantum physics. [lever_c_demoted from research: ic=2 ai=0.4]
Read on Hugging Face Daily Papers →
- arXiv
- arXiv:1607.00550
- arXiv:1902.08582
- arXiv:2402.16353
- arXiv:2510.07788
- cs.LG
- Hugging Face
- quant-ph
- Fisher information
- low-rank quantum state tomography
- quantum physics
- van Trees inequality
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