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#Quantum PCPs

Showing: 11 courses
Simons Institute

Quantum Complexity of Clique Homology

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Explore the quantum mechanical structure in topology, connecting complexity theory to QMA hardness and examining implications for quantum algorithms and PCPs.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Institute

A Quantum Complexity Approach to the Problem of Weak Cosmic Censorship

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Exploring weak cosmic censorship conjecture and its quantum analogue using complexity theory, challenging classical formulations and proposing new perspectives on gravitational collapse.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Simons Institute

What on Earth Does Complexity Theory Have to Do with Gravity?

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Explore the intriguing connection between complexity theory and gravity, delving into quantum PCP, area laws, and quantum gravity concepts.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Simons Institute

Classification of 2D Gapped Ground States With Strict Area Law

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Explores classification of 2D gapped ground states with strict area law, showing conversion to generalized string-net Hamiltonian ground states using constant-depth quantum circuits.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

Introduction to Commuting Local Hamiltonian Problems

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Explore quantum complexity through commuting local Hamiltonian problems, focusing on quantum PCP, area laws, and quantum gravity connections.
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1 Lesons
48 minutes
On-Demand
Free-Video
Simons Institute

MIP Equals RE - Putting Everything Together

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Explore quantum protocols, testing, and quantum PCPs with a focus on distance measures, entanglement, compression, and the integration of key concepts in quantum computing.
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12 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Institute

A General Introduction to Quantum Tomography and a Specialized Report on Property Testing

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Explore quantum tomography, property testing, and advanced quantum protocols. Delve into estimation problems, compressed sensing, and Clifford group analysis in this comprehensive lecture.
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17 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Making the Leap to Quantum PCPs - IPAM at UCLA

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Explore quantum PCPs, NLTS conjecture, and quantum error-correcting codes. Discover connections to quantum complexity theory and future research directions in this intuition-focused talk.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

Expansion of Higher-Dimensional Cubical Complexes with Application to Good Quantum Locally Testable Codes

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Explore quantum locally testable codes, their optimal parameters, and connections to expander codes and qLDPC codes in this advanced talk on quantum complexity theory.
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1 Lesons
39 minutes
On-Demand
Free-Video
Simons Institute

Quantum Computational Advantage With Constant-Temperature Gibbs Sampling

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Explore quantum computational advantage through constant-temperature Gibbs sampling, examining thermalization processes and their implications for quantum systems and classical algorithms.
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1 Lesons
38 minutes
On-Demand
Free-Video
Simons Institute

Oracle Separations Between QMA and QCMA

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Explores recent non-standard oracle separations between QMA and QCMA, discussing connections to sparse Hamiltonians and potential paths towards standard oracle separation.
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1 Lesons
47 minutes
On-Demand
Free-Video