# Self-guaranteed measurement-based quantum computation. (arXiv:1603.02195v3 [quant-ph] UPDATED)

In order to guarantee the output of a quantum computation, we usually assume

that the component devices are trusted. However, when the total computation

process is large, it is not easy to guarantee the whole system when we have

scaling effects, unexpected noise, or unaccounted correlations between several

subsystems. If we do not trust the measurement basis nor the prepared entangled

state, we do need to be worried about such uncertainties. To this end, we

proposes a "self-guaranteed" protocol for verification of quantum computation

under the scheme of measurement-based quantum computation where no

prior-trusted devices (measurement basis nor entangled state) are needed. The

approach we present enables the implementation of verifiable quantum

computation using the measurement-based model in the context of a particular

instance of delegated quantum computation where the server prepares the initial

computational resource and sends it to the client who drives the computation by

single-qubit measurements. Applying self-testing procedures we are able to

verify the initial resource as well as the operation of the quantum devices,

and hence the computation itself. The overhead of our protocol scales as the

size of the initial resource state to the power of 4 times the natural

logarithm of the initial state's size.