We provide a construction of sets of d/2 + 1 mutually unbiased bases (MUBs) in dimensions d = 4, 8 using maximal commuting classes of Pauli operators. We show that these incomplete sets cannot beâ€¦ (More)

We demonstrate that there exists a universal, near-optimal recovery mapâ€”the transpose channelâ€”for approximate quantum error-correcting codes, where optimality is defined using the worst-caseâ€¦ (More)

Secure two-party cryptography is possible if the adversaryâ€™s quantum storage device suffers imperfections. For example, security can be achieved if the adversary can store strictly less then half ofâ€¦ (More)

Even though mutually unbiased bases and entropic uncertainty relations play an important role in quantum cryptographic protocols, they remain ill understood. Here, we construct special sets of up toâ€¦ (More)

It is demonstrated here that local dynamics have the ability to strongly modify the entangling power of unitary quantum gates acting on a composite system. The scenario is common to numerous physicalâ€¦ (More)

We provide a construction of sets of d/2 + 1 mutually unbiased bases (MUBs) in dimensions d = 4, 8 using maximal commuting classes of Pauli operators. We show that these incomplete sets cannot beâ€¦ (More)

We consider a setting where qubits are processed sequentially, and derive fundamental limits on the rate at which classical information can be transmitted using quantum states that decohere in time.â€¦ (More)

An important non-classical feature of quantum measurements is the celebrated uncertainty trade-off, namely that the uncertainties in the outcomes of measurements performed on distinct yet identicallyâ€¦ (More)