A modified LCU circuit turns every ancilla measurement into a useful projection, forming a low-rank matrix that enables classical low-rank completion for full quantum output reconstruction and a secret-key-based quantum trapdoor function.
Efficient quantum state tomogra- phy.Nature communications, 1(1):149
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Exploiting all ancilla outcomes in linear combinations of unitaries: low-rank recovery and quantum trapdoor functions
A modified LCU circuit turns every ancilla measurement into a useful projection, forming a low-rank matrix that enables classical low-rank completion for full quantum output reconstruction and a secret-key-based quantum trapdoor function.