Topic modeling is a generalization of clustering that posits that observations (words in a document) are generated by multiple latent factors (topics), as opposed to just one. The increased… (More)

We establish methods for quantum state tomography based on compressed sensing. These methods are specialized for quantum states that are fairly pure, and they offer a significant performance… (More)

We study the problem of reconstructing an unknown matrix M of rank r and dimension d using O(rdpoly log d) Pauli measurements. This has applications in quantum state tomography, and is a… (More)

In a peer-to-peer network, nodes are typically required to route packets for each other. This leads to a problem of "free-loaders", nodes that use the network but refuse to route other nodes'… (More)

Intuitively, if a density operator has small rank, then it should be easier to estimate from experimental data, since in this case only a few eigenvectors need to be learned. We prove two… (More)

We study the computational complexity of the N-representability problem in quantum chemistry. We show that this problem is quantum Merlin-Arthur complete, which is the quantum generalization of… (More)

Suppose we have an n-qubit system, and we are given a collection of local density matrices ρ 1 ,. .. , ρ m , where each ρ i describes a subset C i of the qubits. We say that the ρ i are " consistent… (More)

We describe a simple method for certifying that an experimental device prepares a desired quantum state ρ. Our method is applicable to any pure state ρ, and it provides an estimate of the fidelity… (More)

One-time memories (OTM’s) are a simple type of tamper-resistant cryptographic hardware, which can be used to implement many forms of secure computation, such as one-time programs. Here we investigate… (More)