Table 1 Resources required to send N state parameters with 100% fidelity for each technique using linear optics.

From: Superdense teleportation using hyperentangled photons

 

State dimension

Success probability

Classical bits

Alice detector #

Bob transformation #

State known to Charles

QT

2

1/2

2

4

4

Optional

RSP (probabilistic)

(N+2)/2

2/(N+2)

1

1

1

Required

RSP (deterministic)

(N+2)/2

1

2Log2[(N+2)/2]

[(N+2)/2]2

[(N+2)/2]2

Required

SDT

N+1

1

Log2[N+1]

N+1

N+1

Required

  1. Superdense teleportation (SDT) uses a high-dimensional input state to transmit quantum state parameters with less classical communication and fewer detectors and transformations than both standard quantum teleportation (QT) and deterministic remote state preparation (RSP). While probabilistic RSP can transmit state information with very few experimental resources, the probability of successful state transmission is inversely proportional to the number of parameters being transmitted. Note that QT of dimension d>2 requires nonlinear optics or the addition of d-entangled ancilla qubits53. QT is also the only technique that does not require the transmitted state to be known to a state chooser (Charles).
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