1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Multipartite entanglement in the Fenna-Matthews-Olson (FMO) pigment-protein complex
Rent:
Rent this article for
USD
10.1063/1.4705396
/content/aip/journal/jcp/136/17/10.1063/1.4705396
http://aip.metastore.ingenta.com/content/aip/journal/jcp/136/17/10.1063/1.4705396

Figures

Image of FIG. 1.
FIG. 1.

Simplified scheme of the light reaction in which photons are absorbed by a network of antenna pigments linked to the FMO complex, and from which the excitation energy is transported to the reaction center (RC). Photochemical reactions take place at the RC to convert the excitation energy into chemical energy.

Image of FIG. 2.
FIG. 2.

(a) The population difference, ΔP between the excited state |1⟩ e and ground state |0⟩ e , evaluated using u(t)2 (Eq. (17)), as a function of time t (ps) and Δω/2 (cm−1) at γ0 = 1000 cm−1 and detuning parameter, δ = 0. (b) ΔP as a function of time t (ps) and γ0 (cm−1) at Δω/2 = 40 cm−1. (c) ΔP as a function of time t (ps) and γ0 (cm−1) at Δω/2 = 20 cm−1.

Image of FIG. 3.
FIG. 3.

(a) Entanglement measure of the excitonic qubit subsystem, E e as function of time t (ps) and γ0 (cm−1), evaluated for the W state (Eq. (18) using Eqs. (5) and (7)). The detuning parameter, δ = 0. Δω = 80 cm−1(Ref.  81) in Eq. (10). The parameter estimates are typical of the FMO complex of P. aestuarii 81 (b) Same as in (a) except that the entanglement measure of the system of the collective reservoir states E r is obtained as a function of t (ps) and γ0 (cm−1). (c) Entanglement measure of the excitonic qubit subsystem, E e as function of time t (ps) and Δω/2 (cm−1), with the detuning parameter, δ = 0 and γ0 = 1000 cm−1.

Image of FIG. 4.
FIG. 4.

(a) Entanglement measure of the excitonic qubit subsystem, E e as function of time t (ps) and δ (cm−1), evaluated for the W state (Eq. (18) using Eqs. (5) and (7)). γ0 is set at 1000 cm−1 and Δω/2 = 40 cm−1. (b) Same as in (a) except that the entanglement measure of the system of the collective reservoir states E r is obtained as a function of t (ps) and δ (cm−1).

Image of FIG. 5.
FIG. 5.

(a) Meyer-Wallach measure Q (Eq. (24)) as a function of time t (ps) and γ0 (cm−1), evaluated for the state in Eq. (22) using Eq. (24). a = 0, b = 1, and Δω/2 = 40 cm−1. (b) Meyer-Wallach measure Q as a function of time t (ps) and parameter b, γ0 = 800 cm−1 and Δω/2 = 40 cm−1. (c) Meyer-Wallach measure Q as a function of time t (ps) and Δω/2, γ0 = 1000 cm−1, a = 0, b = 1.

Image of FIG. 6.
FIG. 6.

(a) Teleportation fidelity, F GHZ, as a function of time t (ps) and γ0 [10 cm−1 (blue line), 50 cm−1 (green line), 1000 cm−1 (red line)] based on the GHZ resource states, using Eq. (26). The detuning parameter is set at δ = 0 and N = 4. Δω = 80 cm−1 (Ref. 81) in Eq. (10). The classical fidelity of 2/3 is denoted by dotted lines. (b) Same as in (a) except N = 16. (c) Same as in (a) except N = 64.

Image of FIG. 7.
FIG. 7.

(a) Quantum information splitting fidelity, F GHZS , as a function of time t (ps) and γ0 [10 cm−1 (blue line), 50 cm−1 (green line), 1000 cm−1 (red line)] based on the GHZ resource states, using Eq. (28). The detuning parameter is set at δ = 0 and N = 4. Δω = 80 cm−1 (Ref. 81) in Eq. (10). The classical fidelity of 2/3 is denoted by dotted lines. (b) Same as in (a), except N = 16. (c) Same as in (a) except N = 64.

Image of FIG. 8.
FIG. 8.

(a) Teleportation fidelity, F W , as a function of time t (ps) and γ0 [10 cm−1 (blue line), 50 cm−1 (green line), 1500 cm−1 (red line)] based on the W A resource states, using Eq. (27). The detuning parameter is set at δ = 0 and Δω = 80 cm−1 (Ref. 81) in Eq. (10). The classical fidelity of 2/3 is denoted by dashed lines. (b) Quantum information splitting fidelity, F WS , as a function of time t (ps) and γ0 [10 cm−1 (blue line), 50 cm−1 (green line), 1500 cm−1 (red line)] based on the W A resource states, using Eq. (29). The detuning parameter is set at δ = 0 and Δω = 80 cm−1 (Ref. 81) in Eq. (10).

Tables

Generic image for table
Table I.

The BChl site energies (cm−1) used in Refs. 14 (provided as true values of the site energies in last column of Table 3), and Refs. 15 and 81 for the FMO complex of P. aestuarii. The difference in site energies (provided within { }) is calculated by considering the site energy of the third BChl as a reference point.

Generic image for table
Table II.

Delocalized exciton qubit states provided as linear combinations of probability occupation amplitudes associated with the seven BChl sites. The excitonic qubit states are labeled according to increasing exciton energies for the FMO complex of P. aestuarii.

Loading

Article metrics loading...

/content/aip/journal/jcp/136/17/10.1063/1.4705396
2012-05-04
2014-04-16
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Multipartite entanglement in the Fenna-Matthews-Olson (FMO) pigment-protein complex
http://aip.metastore.ingenta.com/content/aip/journal/jcp/136/17/10.1063/1.4705396
10.1063/1.4705396
SEARCH_EXPAND_ITEM