https://arxiv.org/abs/2001.09430

(Submitted on 26 Jan 2020 (v1 <https://arxiv.org/abs/2001.09430v1>), last 
revised 28 Jan 2020 (this version, v2))

We present how basic logic gates including NAND, NOR and XOR gates can be 
implemented counterfactually. The two inputs (Bob and Charlie) and the 
output (Alice) of the proposed counterfactual logic gate are not within the 
same station but rather separated in three different locations. We show 
that there is no need to pre-arrange entanglement for the gate, and more 
importantly, there is no real physical particles traveling among Alice, Bob 
and Charlie during the information processing. Bob and Charlie only need to 
independently control the blocking and unblocking of the transmission 
channels that connect them to Alice. In this way, they can completely 
determine the state of a real photon at Alice's end, thereby leading to 
implement a counterfactual logic gate. The functionality of a particular 
counterfactual logic gate is determined only by an appropriate design of 
Alice's optical device. Furthermore, by utilizing the proposed 
counterfactual logic gates, we demonstrate how to counterfactually prepare 
the Greenberger-Horne-Zeilinger state and W state with three remote quantum 
objects, which are in a superposition state of blocking and unblocking the 
transmission channel.



@philipthrift



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