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Information about an unknown quantum state can be encoded in weak values ofprojectors belonging to a complete eigenbasis. We present a protocol thatenables one party -- Bob -- to remotely determine the weak values correspondingto weak measurements performed by another spatially separated party -- Alice.The particular set of weak values contains complete information of the quantumstate encoded on Alice's register, which enacts the role of preselected systemstate in the aforementioned weak measurement. Consequently, Bob can determinethe quantum state from these weak values, which can also be termed as remotestate determination or remote state tomography. A combination of non-productbipartite resource state shared between the two parties and classicalcommunication between them is necessary to bring this statistical scheme tofruition. Significantly, the information transfer of a pure quantum state ofany known dimensions can be effected even with resource states of lowdimensionality and purity with a single measurement setting at Bob's end.Keywords: Remote state determination; Quantum communication; Non-classicalcorrelations; Weak Values; Quantum resource states; Quantum teleportation;Quantum key distribution (QKD).

Quantum information transfer using weak measurements and any non-product resource state