Information gain on reheating: The one bit milestone

Minimum energy required to copy one bit of information

In this paper, we calculate energy required to copy one bit of useful information in the presence of thermal noise. For this purpose, we consider a quantum system capable of storing one bit of classical information, which is initially in a mixed state corresponding to temperature T . We calculate how many of these systems must be used to store useful information and control bits protecting the ...

A particle can carry more than one bit of information

It is believed that a particle cannot carry more than one bit of information. It is pointed out that particle or single-particle quantum state can carry more than one bit of information. It implies that minimum energy cost of transmitting a bit will be less than the accepted limit KTlog2. .

One-Bit Compressive Sensing with Partial Support Information

This work develops novel algorithms for incorporating prior-support information into the field of One-Bit Compressed Sensing. Traditionally, Compressed Sensing is used for acquiring high-dimensional signals from few linear measurements. In applications, it is often the case that we have some knowledge of the structure of our signal(s) beforehand, and thus we would like to leverage it to attain ...

Power of One Bit of Quantum Information in Quantum Metrology

One-Bit ExpanderSketch for One-Bit Compressed Sensing

Is it possible to obliviously construct a set of hyperplanes H such that you can approximate a unit vector x when you are given the side on which the vector lies with respect to every h ∈ H? In the sparse recovery literature, where x is approximately k-sparse, this problem is called onebit compressed sensing and has received a fair amount of attention the last decade. In this paper we obtain th...