Hamming code is a form of linear error correcting code that can detect up to two-bit error or correct Memory is used to store information of various types. Surface code implementation and error detection quantum circuit. measurements around various axes of the code qubits for quantum state tomography. The magnitude of each type of error in the code qubits can be extracted. during various stages...

A distributed binary hypothesis testing problem is studied in which multiple helpers transmit their observations to a remote detector over orthogonal discrete memoryless channels. The detector uses the received samples from the helpers along with its own observations to test for the joint distribution of the data. Single-letter inner and outer bounds for the type 2 error exponent (T2EE) is esta...

Let Bt(n) be the number of set partitions of a set of size t into at most n parts and let B′ t(n) be the number of set partitions of {1, . . . , t} into at most n parts such that no part contains both 1 and t or both i and i+ 1 for any i ∈ {1, . . . , t− 1}. We give two new combinatorial interpretations of the numbers Bt(n) and B ′ t(n) using sequences of random-to-top shuffles, and sequences o...

Census counts are subject to different types of nonsampling errors. One of these main errors is coverage error. Undercount and overcount are two types of coverage error. Undercount usually occurs more than the other, thus net undercount estimation is important. There are various methods for estimating the coverage error in censuses. One of these methods is dual system (DS) that usually uses dat...